Perimeter of Rectangle given Diagonal and Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2))
P = 2*(l+sqrt(d^2-l^2))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Perimeter of Rectangle - (Measured in Meter) - Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.
Length of Rectangle - (Measured in Meter) - Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
Diagonal of Rectangle - (Measured in Meter) - Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
STEP 1: Convert Input(s) to Base Unit
Length of Rectangle: 8 Meter --> 8 Meter No Conversion Required
Diagonal of Rectangle: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = 2*(l+sqrt(d^2-l^2)) --> 2*(8+sqrt(10^2-8^2))
Evaluating ... ...
P = 28
STEP 3: Convert Result to Output's Unit
28 Meter --> No Conversion Required
FINAL ANSWER
28 Meter <-- Perimeter of Rectangle
(Calculation completed in 00.004 seconds)

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Perimeter of Rectangle Calculators

Perimeter of Rectangle given Breadth and Circumradius
​ LaTeX ​ Go Perimeter of Rectangle = 2*(Breadth of Rectangle+sqrt((4*Circumradius of Rectangle^2)-Breadth of Rectangle^2))
Perimeter of Rectangle given Diagonal and Length
​ LaTeX ​ Go Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2))
Perimeter of Rectangle given Area and Length
​ LaTeX ​ Go Perimeter of Rectangle = (2*(Area of Rectangle+Length of Rectangle^2))/Length of Rectangle
Perimeter of Rectangle
​ LaTeX ​ Go Perimeter of Rectangle = 2*(Length of Rectangle+Breadth of Rectangle)

Perimeter of Rectangle Calculators

Perimeter of Rectangle given Diagonal and Breadth
​ LaTeX ​ Go Perimeter of Rectangle = 2*(sqrt(Diagonal of Rectangle^2-Breadth of Rectangle^2)+Breadth of Rectangle)
Perimeter of Rectangle given Diagonal and Length
​ LaTeX ​ Go Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2))
Perimeter of Rectangle given Area and Length
​ LaTeX ​ Go Perimeter of Rectangle = (2*(Area of Rectangle+Length of Rectangle^2))/Length of Rectangle
Perimeter of Rectangle
​ LaTeX ​ Go Perimeter of Rectangle = 2*(Length of Rectangle+Breadth of Rectangle)

Perimeter of Rectangle given Diagonal and Length Formula

​LaTeX ​Go
Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2))
P = 2*(l+sqrt(d^2-l^2))

What is a Rectangle?

A Rectangle is a two dimensional geometric shape having four sides and four corners. The four sides are in two pairs, in which each pair of lines are equal in length and parallel to each other. And adjacent sides are perpendicular to each other. In general a 2D shape with four boundary edges are called quadrilaterals. So a rectangle is a quadrilateral in which each corner is right angle.

How to Calculate Perimeter of Rectangle given Diagonal and Length?

Perimeter of Rectangle given Diagonal and Length calculator uses Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)) to calculate the Perimeter of Rectangle, Perimeter of Rectangle given Diagonal and Length formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using diagonal and length of the Rectangle. Perimeter of Rectangle is denoted by P symbol.

How to calculate Perimeter of Rectangle given Diagonal and Length using this online calculator? To use this online calculator for Perimeter of Rectangle given Diagonal and Length, enter Length of Rectangle (l) & Diagonal of Rectangle (d) and hit the calculate button. Here is how the Perimeter of Rectangle given Diagonal and Length calculation can be explained with given input values -> 28 = 2*(8+sqrt(10^2-8^2)).

FAQ

What is Perimeter of Rectangle given Diagonal and Length?
Perimeter of Rectangle given Diagonal and Length formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using diagonal and length of the Rectangle and is represented as P = 2*(l+sqrt(d^2-l^2)) or Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)). Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides & Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
How to calculate Perimeter of Rectangle given Diagonal and Length?
Perimeter of Rectangle given Diagonal and Length formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using diagonal and length of the Rectangle is calculated using Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2)). To calculate Perimeter of Rectangle given Diagonal and Length, you need Length of Rectangle (l) & Diagonal of Rectangle (d). With our tool, you need to enter the respective value for Length of Rectangle & Diagonal of Rectangle 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 Perimeter of Rectangle?
In this formula, Perimeter of Rectangle uses Length of Rectangle & Diagonal of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Rectangle = 2*(Length of Rectangle+Breadth of Rectangle)
  • Perimeter of Rectangle = (2*(Area of Rectangle+Length of Rectangle^2))/Length of Rectangle
  • Perimeter of Rectangle = 2*(Breadth of Rectangle+sqrt((4*Circumradius of Rectangle^2)-Breadth of Rectangle^2))
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