To find the diagonal, square the width and height of the rectangle and add the squared values. Angle and other diagonal 4. Calculate the diagonal of a trapezoid if given 1. Using the law of cosines 3. asked Oct 7 in Triangles by Anika01 (44.8k points) triangles; class-10; 0 votes. Both the diagonals are equal in length. Diagonal of a square calculator displays the result! Calculate Diagonals in Area and Space. These examples illustrate how to calculate the area, perimeter, and diagonal of a rectangle manually, but if you prefer to use the calculator for quicker results or to merely check your work, then feel free to do so. How many inches long is the rectangle's diagonal? Diagonal of a Rectangle Calculator. Geometry - Rectangle diagonal calculator . Foldings can be done in length or width, the new dimensions with thickness, diagonal, perimeter and area will be calculated. Its length in two and in three dimensions can be calculated here. Since any diagonal of a parallelogram divides it into two congruent triangles, you can calculate the diagonal by knowing the sides of the parallelogram and the angle between them. The yellow line (called diagonal) has the length square root of (a^2+b^2). The corresponding piece of the rectangle will then be marked. The Rectangle Calculator is used to calculate the area, perimeter and diagonal of a rectangle. Next, you can choose what decimal places you need. Use our online diagonal of a rectangle calculator to find diagonal of rectangle by entering the width and height. In this formula, Diagonal uses Length and Breadth. Diagonal of a Rectangle Formula. How to Square up a Lay Out. You are not always going to have all the … 2. The rectangle is a symmetrical shape and has both the diagonals equal in length. OwlCalculator.com. Calculating the Diagonal of a Rectangle. 1 answer. Use this feet and inch diagonal calculator to easily find the diagonal between two sides of any rectangle. Rectangle. To use this online calculator for Diagonal of a Rectangle when length and breadth are given, enter Length (l) and Breadth (b) and hit the calculate button. Diagonal of a rectangle formula. Definition of a rectangle: the rectangle is a quadrangle, or a parallelogram, where all four of its angles are right angles, or the diagonals have the same length. This makes squaring up any lay out a snap. "). The outputs are the dimensions, length x and width y, of the rectangle. The diagonal of a rectangle divides the rectangle into two equal parts, each of which is a right triangle, the legs of which are the sides of the rectangle. Diagonal of a Rectangle when length and breadth are given calculator uses. K-12 students may refer the below formulas of rectangle to know what are all the input parameters are being used to find the area, perimeter, diagonal, length or side of a rectangle. This rectangular calculator can help you calculate the area, perimeter, diagonal, length or width of a rectangle if you know the required dimensions. Enter the width and height of the given rectangle in the input … When you’re working with rectangles, you can find out a lot of information about them just by knowing a few key points of information. centimeters, feet) via the pull-down menu. Geometry is a branch of mathematics that studies spatial structures and relationships, as well as their generalizations. Fold a Rectangle. All four sides 2. According to the Pythagorean theorem, the diagonal value can be found knowing the side length. Formulas. The following is the calculation formulas of the area, perimeter and diagonal of rectangle whose sides have width a and length b: The perimeter of a rectangle. You just have to enter e.g. All you need are two measurements and you can calculate its perimeter by hand, or by using our perimeter of a rectangle calculator above. Diagonal of a Rectangle when length and breadth are given calculator uses Diagonal=sqrt(Length^2+Breadth^2) to calculate the Diagonal, A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape. d = √a2 + b2 d = a 2 + b 2. where a a and b b are the length and width of the rectangle, respectively. A diagonal of a rectangle cut the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is diagonal. The steps involved with finding the diagonal of a rectangle with known side lengths. Side and other diagonal 3. By … 3. Diagonal of a Rectangle Calculator. A rectangle has a height of 12 and a diagonal of 31. Then these equations are solved for L and W which are the length and width of the rectangle. Diagonal of a Rectangle when length and breadth are given, 73 Other formulas that you can solve using the same Inputs, 21 Other formulas that calculate the same Output, Diagonal of a Rectangle when length and breadth are given Formula. Geometry is a branch of mathematics that studies spatial structures and relationships, as well as their generalizations. Following is the diagonal of a rectangle formula on how to calculate diagonal of a rectangle. both side lengths or any other two values. An online calculator to calculate the length and width (dimensions) of a rectangle given its perimeter P and length of diagonal L. If x and y are the length and width of a rectangle, the perimeter P and the length L of the diagonal may be expressed in terms of x and y as follows: Perimeter = P = 2 x + 2 y length of diagonal = L = √ (x 2 + y 2) To find the area of a rectangle, you should have the length and width of the … A diagonal is a line between two opposite corners. How to calculate the area of a rectangle? Rectangle calculator Compute the area and the length of the diagonal of a rectangle. We can use 21 other way(s) to calculate the same, which is/are as follows -, Diagonal of a Rectangle when length and breadth are given Calculator. The condition for the rectangle to exist is: L ≥ √(2 A) How to use the Rectangle Area and Diagonal Calculator Enter the area A and the length L of the diagonal of the rectangle to solve, as positive real numbers, and press "calculate". A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape. Contributed by: Bulbul Majumder (March 2011) Open content licensed under CC BY-NC-SA Rectangle Calculator: Find the Diagonal (d) You can define the diagonal in a rectangle as the piece that connects two vertices in a rectangle that sit opposite each other. Diagonal of a Rectangle. The result will be in the unit the width and height are measured in, but squared, e.g. Here is how the Diagonal of a Rectangle when length and breadth are given calculation can be explained with given input values -> 3.605551 = sqrt(3^2+2^2). Perimeter of a rectangle calculator online - easily calculate the perimeter of any rectangle, given its length and width. A great feature of the calculator is that you can find either the length or the width if you know the perimeter and the length of one of the sides. How to calculate area of a rectangle? The formula for diagonal of rectangle can be stated as: d² = a² + b². For our formula, use: \(D = \sqrt{W^{2} + L^{2}}\) EXAMPLE 1. Rectangle Diagonal Calculator is a free online tool that displays rectangle diagonal for the given side lengths. What is the Formula for Finding the Diagonal of a Rectangle? Calculator which helps fabricators, welders and such, find diagonal lengths of a rectangle. With the above equations, we can now derive various diagonal of a rectangle formulas that are used by this diagonal of a rectangle calculator: Given length and width : d = √(l² + w²) , Given length/width and area : d = √(A²/l² + l²) or d = √(A²/w² + w²) , To find the diagonal, square the width and height of the rectangle and add the squared values. Side and angle 2. This calculator can also be used to get the answer to the question of 'How to find the diagonal of a rectangular prism?'. Get this app free now at the Play Store. 3. Works with imperial and metric units: mm, cm, meters, km, inches, feet, yards, miles, and more. Breadth is the measurement or extent of something from side to side. Pour le calculer, multipliez le carré diagonal par le sinus d'un angle formé par … Rectangle. Find the width of the rectangle and use the animation or the calculator above to verify your answer. } That gives you the percentage of the total cone of light color: #035096; Use our online diagonal of a rectangle calculator to find diagonal of rectangle by entering the width and height. La surface d'un rectangle dépend de ses côtés. Perimeter of a rectangle formula. Mensuration formulas are applied to calculate the area, perimeter, and diagonal length of a rectangle on the basis of its length and breadth. A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape is calculated using. -12 . Then drag the corners to create an arbitrary rectangle.Calculate the length of the diagonals.Click 'show details' to verify your answer. Then find the square root for it, the resultant value is the length of diagonal. Then find the square root for it, the resultant value is the length of diagonal. It can 1 or 2 or whatever you want. You also use the Pythagorean theorem to receive an approximate diagonal measurement: d² = l² + w² Then, to get the exact formula for finding the diagonal of a rectangle, take a square root. person_outlineTimurschedule 2019-09-17 09:22:07. The rectangle has two diagonals and this would vary on the type of polygon and their number of corners they possess. Formulas. Using height, angles at the base and sides 4. Diagonal of a Rectangle Calculator Diagonal of a rectangle is the line segment passing from one corner of the rectangle to the opposite corner of the rectangle like shown in the below image. A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape and is represented as. Find the length of a diagonal of a rectangle whose adjacent sides are 30 cm and 16 cm. Side a Side b Diagonal d Area Perimeter Rectangle calculation According to the cosine theorem, the side of the triangle to the second degree is equal to the sum of the squares of its two other sides and their double product by the cosine of the angle between them. What does it mean to find the diagonal of a rectangle? Use our online diagonal of a rectangle calculator to find diagonal of rectangle by entering the width and height. If you know side lengths of the rectangle, you can easily find the length of the diagonal using the Pythagorean Theorem, since a diagonal divides a rectangle into two right triangles. The outputs are the width, length and diagonal of the rectangle. Steps to Find Area of a Recatngle The step by step workout for how to find what is the area of a rectangle. Perimeter of a rectangle formula. Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm. Get more help from Chegg. The Instruction and How to use the calculator online to count the Area and Perimeter of Rectangle. To find the diagonal of a rectangle formula, you can divide a rectangle into two congruent right triangles, i.e., triangles with one angle of 90°, and use the Pythagorean theorem to estimate the diagonal of a rectangle. Geometry. How to calculate Diagonal of a Rectangle when length and breadth are given? Works with imperial and metric units: mm, cm, meters, km, inches, feet, yards, miles, and more. Establish two parallel lines for the the width; Establish a starting point for the length on … If l is equal to w then the rectangle is called a square. Length of Diagonal of Rectangle Formula: The diagonal of a rectangle is determined by the following formula. A diagonal will divide the rectangle into two right angle triangles. Find the length and width of the rectangle. Rectangle is a quadrilateral having opposing sides parallel and four right angles. asked Oct 7 in Triangles by Anika01 (44.8k points) triangles; class-10; 0 votes. How to Calculate Diagonal of a Rectangle when length and breadth are given? The diagonal equals the square root of the width squared plus the height squared. The outputs are the dimensions, length x and width y, of the rectangle. Area and other diagonal Then find the square root for it, the resultant value is the length of diagonal. A rectangle has two diagonals, and each is the same length. For instance, 15.556 in is 39.51 cm and around 1 ft 3 in. We can find the diagonal of a rectangle with the help of this following formula: where, w = Width of the rectangle h = Height of the rectangle Use our below online diagonal of a rectangle calculator for finding the rectangle's diagonal length. How to Use the Rectangle Diagonal Calculator? 1 answer. In geometry, a rectangle is any quadrilateral with all four interior angles 90° (right angles). The original rectangle and the rectangle resulting from the folding will be drawn at the same scale. First, input 2 values between height/width(edges) or diagonal with alpha/beta angle in the rectangle 2. If you’ve been given the length of the diagonal and at least one side, you can calculate the area of the whole shape with just a few equations. In our case, the diagonal is 15.556 in. Diagonal and is denoted by d symbol. When you’re working with rectangles, you can find out a lot of information about them just by knowing a few key points of information. Tous les quatre angles du rectangle sont des angles droits. Rectangle is a parallelogram with opposite sides of equal length and with all right angles (90) Following image shows you how a Rectangle looks like Following is the Java program that takes Length, Breadth as inputs and compute Area, Perimeter & Length of diagonal of a Rectangle Diagonal: The calculator will return the length of the diagonal in inches. Find the length of a diagonal of a rectangle whose adjacent sides are 30 cm and 16 cm. Rectangle Diagonal Calculator is a free online tool that displays rectangle diagonal for the given side lengths. Rectangle calculation Mathepower calculates perimeter, area, side and diagonal of a rectangle. A rectangle has two diagonals, that bisects each other. Rectangle circumscribed radius in terms of sine of the angle that adjacent to the diagonal and the opposite side of the angle Radius Of Circumscribed Circle=Length/2*sin(sinϑ) GO Diagonal of a Rectangle when breadth and area are given Diagonal=sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) GO You can find the diagonal of a rectangle if you have the width and the height. One side of a rectangle is 7 inches and another is 9 inches. Calculator which helps fabricators, welders and such, find diagonal lengths of a rectangle. mm 2, cm 2, m 2, km 2 or in 2, ft 2, yd 2, mi 2. Calculate the length of the diagonal for a rectangle with a length of and a width of . 1. In geometry, a rectangle is any quadrilateral with all four interior angles 90° (right angles). In the diagram above, let x be the diagonal of the S R rectangle: x = sqrt( R^2 + S^2) then the diagonal … Possible Answers: Correct answer: Explanation: The diagonal of a rectangle can be thought of as the hypotenuse of a right triangle whose base and height are the length and width of the rectangle, respectively. Rectangle is a two dimensional plane or geometric shape with 4 straight sides and 4 right angle (90º) corners. Diagonals of a rectangle A rectangle has two diagonals, which are line segments linking opposite vertices (corners) of the rectangle. Using the same rectangle dimensions as previous examples, (eight-inch length, 15-inch width), we will work out the diagonal of a rectangle. Perimeter of a rectangle calculator online - easily calculate the perimeter of any rectangle, given its length and width. The two most recently changed values are used, the other three are calculated live. A rectangle has two diagonal and they are congruent, that is both will measure the same length. Area or midsegment d = √ (l² + w²) You can also use the diagonal of a rectangle calculator to measure in various units using SI and imperial. However, this can be automatically converted to other length units (e.g. The Instruction and How to use the calculator online to count the Area and Perimeter of Rectangle. Rectangle is a parallelogram with opposite sides of equal length and with all right angles (90) Following image shows you how a Rectangle looks like Following is the Java program that takes Length, Breadth as inputs and compute Area, Perimeter & Length of diagonal of a Rectangle Free Rectangle Width & Length Calculator - calculate width & length of a rectangle step by step This website uses cookies to ensure you get the best experience. (Impossible results are marked by "? The diagonal of a rectangle divides the rectangle into two equal parts, each of which is a right triangle, the legs of which are the sides of the rectangle. 1 answer. Diagonal of rectangle refers to the line segment or straight line that connect the opposite corner or vertex of the rectangle. The diagonal of a rectangle has length 51 inches and the length is three inches less than twice the width. Diagonal of a Rectangle Calculator: Students can learn the geometric concepts from here.This Page describes the simple steps to calculate the rectangle diagonal length, formulas that helps you to find the diagonal of a rectangle and some example questions. Diagonal of Rectangle = √ l 2 +w 2, where l = length of the rectangle w = width of the rectangle Electrical Calculators Real Estate Calculators Accounting Calculators Business Calculators Construction Calculators Calculate the diagonal of a rectangle in which its height be 20 cm and width be 25 cm. Next, you can choose what decimal places you need. Diagonal of a Rectangle when length and breadth are given calculator uses Diagonal=sqrt(Length^2+Breadth^2) to calculate the Diagonal, A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape. If the rectangle has a length of and a width of , we can imagine the diagonal as being the hypotenuse of a right triangle.The length and width are the other two sides to this triangle, so we can use the Pythagorean Theorem to calculate the length of the diagonal of the rectangle: Adjacent sides of a rectangle is unequal and opposite sides are parallel to each other. For a diagonal in an area, enter two values, for … Diagonal of rectangle refers to the line segment or straight line that connect the opposite corner or vertex of the rectangle. getcalc.com's Rectangle Calculator is an online basic geometry tool to calculate area, perimeter, diagonal, length or width of a rectangle shape or plane, in both US customary & metric (SI) units. If you know side lengths of the rectangle, you can easily find the length of the diagonal using the Pythagorean Theorem, since a diagonal divides a rectangle into two right triangles. The Math. 1. Length of Diagonals . How many ways are there to calculate Diagonal? 1. If you’ve been given the length of the diagonal and at least one side, you can calculate the area of the whole shape with just a few equations. Length is the measurement or extent of something from end to end. 1 answer. Area of a Rectangle by the length of one side and the diagonal. How to use the calculator Enter the perimeter P and area A as positive real numbers and press "enter". How to Calculate Diagonal of a Rectangle Calculation Of Diagonal Of a Rectangle By This Formula घन फुट निकल ने का आसान तरीका! Following is the diagonal of a rectangle formula on how to calculate diagonal of a rectangle. Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm. asked Apr 6 in Triangles by Mohini01 (67.7k points) properties of triangles; class-7 ; 0 votes. If l is equal to w then the rectangle is called a square. BYJU’S online rectangle diagonal calculator tool makes the calculation faster, and it displays the diagonal of a rectangle in a fraction of seconds. How to calculate Diagonal of a Rectangle when length and breadth are given using this online calculator? A diagonal is a straight line that connects one corner of a rectangle to the opposite corner. Where: a is the length of the rectangle, and b is the width of the rectangle. Enter any 2 of width, height, area, diagonal or perimeter. Rectangle Calculator. According to the Pythagorean theorem, the diagonal value can be found knowing the side length. Calculate and draw the folding of a rectangle. If you want to check the result in a different unit, click on the unit name and select the one that meets your needs. A rectangle has two diagonals, and each is the same length. Geometry - Rectangle diagonal calculator . The Rectangle Calculator is used to calculate the area, perimeter and diagonal of a rectangle. Now that you know how to find the area of a rectangle, let’s take a deep dive into the manual rectangle area calculation. Calculator for the diagonals in a rectangular area and in a cuboid-shaped space. The condition for the rectangle to exist is: L ≥ √(2 A) How to use the Rectangle Area and Diagonal Calculator Enter the area A and the length L of the diagonal of the rectangle to solve, as positive real numbers, and press "calculate". How to Use the Rectangle Diagonal Calculator? We know that a rectangle is a combination of two right triangles. The diagonal of this rectangle is the hypotenuse of the two triangles which is why we can apply the Pythagorean Theorem to solve for the diagonal of a rectangle. Volume of a triangular prism when side lengths are given, Volume=Length*0.25*sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A+Side C-Side B)*(Side A+Side B-Side C)), Potential Gradient=(Electric Potential Difference-Electric potential difference through other terminal)/Length, Radius of the circumscribed circle when perimeter and breadth are given, Radius Of Circumscribed Circle=sqrt((Perimeter)^2-4*Perimeter*Breadth-8*(Breadth)^2)/4, Radius of rectangle circumscribed circle when perimeter and length of the rectangle are given, Radius Of Circumscribed Circle=sqrt((Perimeter)^2-4*Perimeter*Length+8*(Length)^2)/4, Electromotive Force=(EMF of unknown cell using potentiometer*Length)/Final length, Perimeter of rectangle when breadth and radius of circumscribed circle are given, Perimeter=2*(Breadth+sqrt(4*(Radius Of Circumscribed Circle)^2-(Breadth)^2)), Perimeter of rectangle when breadth and diameter of circumscribed circle, Perimeter=2*(Breadth+sqrt((Diameter of Circumscribed Circle)^2-(Breadth)^2)), The perimeter of the rectangle when the length and radius of the circumscribed circle are given, Perimeter=2*(Length+sqrt(4*(Radius Of Circumscribed Circle)^2-(Length)^2)), The perimeter of a rectangle when the diameter of circumscribed circle and length are given, Perimeter=2*(Length+sqrt((Diameter of Circumscribed Circle)^2-(Length)^2)), Volume of a triangular prism when two angles and a side between them are given, Volume=Length*Side A^2*sin(Angle A)*sin(Angle B)/(2*sin(Angle A+Angle B)), Diagonal of a Rectangle when breadth and perimeter are given, Diagonal=sqrt((2*(Breadth)^2)-(Perimeter*Breadth)+((Perimeter)^2/4)), Area of the rectangle when the diameter of the circumscribed circle and breadth are given, Area=Breadth*sqrt((Diameter of Circumscribed Circle)^2-(Breadth)^2), Area of rectangle when breadth and radius of circumscribed circle are given, Area=Breadth*sqrt(4*(Radius Of Circumscribed Circle)^2-(Breadth)^2), Diagonal of a Rectangle when length and perimeter are given, Diagonal=sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)), Surface Area=2*((Length*Height)+(Height*Breadth)+(Length*Breadth)), Area of rectangle when diameter of circumscribed circle and length are given, Area=Length*sqrt((Diameter of Circumscribed Circle)^2-(Length)^2), Area of rectangle when length and radius of circumscribed circle are given, Area=Length*sqrt(4*(Radius Of Circumscribed Circle)^2-(Length)^2), Area of rectangle when radius of circumscribed circle and length are given, The radius of the rectangle circumscribed circle when rectangle sides are given, Radius Of Circumscribed Circle=sqrt((Length)^2+(Breadth)^2)/2, Volume of a triangular prism when two side lengths and an angle are given, Volume=Length*0.5*Side A*Side B*sin(Angle Between Sides), Dihedral angle of a Right Square pyramid between two sides, Dihedral Angle=arccos((-Length^2)/(Length^2+4*Height^2)), Resistance=(Length-Final length)/Final length*Resistance, Surface Area=2*(Length*Width+Length*Height+Width*Height), Surface Area=(Base*Height)+(2*Length*Side)+(Length*Base), Electric Current=(Potential Gradient*Length)/Resistance, Surface Area=Length^2+Length*sqrt(Length^2+4*Height^2), Lateral surface area of a right square pyramid, Lateral Surface Area=Length*sqrt(Length^2+4*Height^2), Resistance=(Final Resistance*Length^2)/Final length^2, The radius of the circumscribed circle in terms of cosine of the angle that adjacent to the diagonal and the adjacent side of, Radius Of Circumscribed Circle=Breadth/2*cos(Theta), Perimeter of a rectangle when diagonal and length are given, Perimeter=2*(Length+sqrt((Diagonal)^2-(Length)^2)), Magnetic Flux=Magnetic Field*Length*Breadth*cos(θ), Rectangle circumscribed radius in terms of sine of the angle that adjacent to the diagonal and the opposite side of the angle, Radius Of Circumscribed Circle=Length/2*sin(sinϑ), Diagonal of a Rectangle when breadth and area are given, Diagonal=sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2), Diagonal of a Rectangle when length and area are given, Diagonal=sqrt(((Area)^2/(Length)^2)+(Length)^2), Final Resistance=(100-Length)/Length*Resistance, Area of a Rectangle when breadth and diagonal are given, Area=Breadth*(sqrt((Diagonal)^2-(Breadth)^2)), Area of a Rectangle when length and diagonal are given, Area=Length*(sqrt((Diagonal)^2-(Length)^2)), Diagonal=sqrt(Length^2+Breadth^2+Height^2), Surface Area=5*(Length*Width+Width*Height), Surface Area=6*(Length*Width+Width*Height), Dihedral angle of a Right Square pyramid between the base and a side, Area of a Rectangle when breadth and perimeter are given, Area of rectangle when perimeter and breadth are given, Lateral edge length of a Right Square pyramid, Perimeter of rectangle when area and rectangle length are given, Area of a Rectangle when length and perimeter are given, Area of rectangle when perimeter and length are given, Length of rectangle when diagonal and breadth are given, Breadth of rectangle when diagonal and length are given, Height of a triangular prism when base and volume are given, Length of rectangle when perimeter and breadth are given, Breadth of rectangle when perimeter and length are given, Rectangle diagonal in terms of cosine of the angle that adjacent to the diagonal and the adjacent side of the angle, Perimeter of a rectangle when length and width are given, Rectangle diagonal in terms of sine of the angle, Area of a Rectangle when length and breadth are given, Length of rectangle when area and breadth are given, Breadth of rectangle when area and length are given, Diagonal of a rhombus when inradius and half-angle are given, Diagonal=(2*Inradius)/sin(Half angle between sides), Diagonal of a rhombus when side and angle are given, Diagonal=Side*sqrt(2+2*cos(Angle Between Sides)), Smaller diagonal of a rhombus when side and half-angle are given, Diagonal=2*Side*sin(Half angle between sides), Longer diagonal of a rhombus when side and half-angle are given, Diagonal=2*Side*cos(Half angle between sides), Diagonal of the square when inradius is given, Diagonal=2*sqrt(2)*Radius Of Inscribed Circle, Diagonal of the rectangle when the radius of the circumscribed circle is given, Diagonal=2*Radius Of Circumscribed Circle, Diagonal of square when length of segment is given, Diagonal=(2*sqrt(10)*Length of segment)/5, Diagonal of the square when circumradius is given, Diagonal of a Square when perimeter is given, The maximum face diagonal length for cubes with a side length S. 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