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Diagonal of a Rectangle when length and perimeter are given Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4))
d = sqrt((2*(l)^2)-(P*l)+((P)^2/4))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Length: 3 Meter --> 3 Meter No Conversion Required
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt((2*(l)^2)-(P*l)+((P)^2/4)) --> sqrt((2*(3)^2)-(20*3)+((20)^2/4))
Evaluating ... ...
d = 7.61577310586391
STEP 3: Convert Result to Output's Unit
7.61577310586391 Meter --> No Conversion Required
7.61577310586391 Meter <-- Diagonal
(Calculation completed in 00.016 seconds)

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Diagonal of a Rectangle when length and perimeter are given Formula

diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4))
d = sqrt((2*(l)^2)-(P*l)+((P)^2/4))

What is Diagonal of a Rectangle when length and perimeter are given?

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. 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.

How to Calculate Diagonal of a Rectangle when length and perimeter are given?

Diagonal of a Rectangle when length and perimeter are given calculator uses diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)) to calculate the Diagonal, The diagonal of a rectangle is a straight line joining two opposite corners of a rectangle. Diagonal and is denoted by d symbol.

How to calculate Diagonal of a Rectangle when length and perimeter are given using this online calculator? To use this online calculator for Diagonal of a Rectangle when length and perimeter are given, enter Length (l) and Perimeter (P) and hit the calculate button. Here is how the Diagonal of a Rectangle when length and perimeter are given calculation can be explained with given input values -> 7.615773 = sqrt((2*(3)^2)-(20*3)+((20)^2/4)).

FAQ

What is Diagonal of a Rectangle when length and perimeter are given?
The diagonal of a rectangle is a straight line joining two opposite corners of a rectangle and is represented as d = sqrt((2*(l)^2)-(P*l)+((P)^2/4)) or diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)). Length is the measurement or extent of something from end to end and The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Diagonal of a Rectangle when length and perimeter are given?
The diagonal of a rectangle is a straight line joining two opposite corners of a rectangle is calculated using diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)). To calculate Diagonal of a Rectangle when length and perimeter are given, you need Length (l) and Perimeter (P). With our tool, you need to enter the respective value for Length and Perimeter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Diagonal?
In this formula, Diagonal uses Length and Perimeter. We can use 11 other way(s) to calculate the same, which is/are as follows -
• diagonal = Side*sqrt(2)
• diagonal = sqrt(3)*Side