Perimeter of Rectangle given Area and Diagonal Calculator

✖Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.ⓘ Diagonal of Rectangle [d]			+10% -10%
✖Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.ⓘ Area of Rectangle [A]			+10% -10%

✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle given Area and Diagonal [P]

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Perimeter of Rectangle given Area and Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Rectangle = 2*sqrt(Diagonal of Rectangle^2+(2*Area of Rectangle))
P = 2*sqrt(d^2+(2*A))
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.
Diagonal of Rectangle - (Measured in Meter) - Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
Area of Rectangle - (Measured in Square Meter) - Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

STEP 1: Convert Input(s) to Base Unit

Diagonal of Rectangle: 10 Meter --> 10 Meter No Conversion Required
Area of Rectangle: 48 Square Meter --> 48 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*sqrt(d^2+(2*A)) --> 2*sqrt(10^2+(2*48))

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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Created by Bhavya Mutyala

Osmania University (OU), Hyderabad

Bhavya Mutyala has created this Calculator and 200+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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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 Area and Diagonal Formula

LaTeX Go

Perimeter of Rectangle = 2*sqrt(Diagonal of Rectangle^2+(2*Area of Rectangle))
P = 2*sqrt(d^2+(2*A))

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 Area and Diagonal?

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

How to calculate Perimeter of Rectangle given Area and Diagonal using this online calculator? To use this online calculator for Perimeter of Rectangle given Area and Diagonal, enter Diagonal of Rectangle (d) & Area of Rectangle (A) and hit the calculate button. Here is how the Perimeter of Rectangle given Area and Diagonal calculation can be explained with given input values -> 28 = 2*sqrt(10^2+(2*48)).

FAQ

What is Perimeter of Rectangle given Area and Diagonal?

The Perimeter of Rectangle given Area and Diagonal formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using Area and Diagonal of the Rectangle and is represented as P = 2*sqrt(d^2+(2*A)) or Perimeter of Rectangle = 2*sqrt(Diagonal of Rectangle^2+(2*Area of Rectangle)). Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle & Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

How to calculate Perimeter of Rectangle given Area and Diagonal?

The Perimeter of Rectangle given Area and Diagonal formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using Area and Diagonal of the Rectangle is calculated using Perimeter of Rectangle = 2*sqrt(Diagonal of Rectangle^2+(2*Area of Rectangle)). To calculate Perimeter of Rectangle given Area and Diagonal, you need Diagonal of Rectangle (d) & Area of Rectangle (A). With our tool, you need to enter the respective value for Diagonal of Rectangle & Area 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 Diagonal of Rectangle & Area 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*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2))
Perimeter of Rectangle = (2*(Area of Rectangle+Length of Rectangle^2))/Length of Rectangle

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