Diagonal of Rectangle given Perimeter and Breadth Calculator

✖Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.ⓘ Breadth of Rectangle [b]			+10% -10%
✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle [P]			+10% -10%

✖Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.ⓘ Diagonal of Rectangle given Perimeter and Breadth [d]

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Diagonal of Rectangle given Perimeter and Breadth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4))
d = sqrt((2*b^2)-(P*b)+(P^2/4))
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

Diagonal of Rectangle - (Measured in Meter) - Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
Breadth of Rectangle - (Measured in Meter) - Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.
Perimeter of Rectangle - (Measured in Meter) - Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.

STEP 1: Convert Input(s) to Base Unit

Breadth of Rectangle: 6 Meter --> 6 Meter No Conversion Required
Perimeter of Rectangle: 28 Meter --> 28 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt((2*b^2)-(P*b)+(P^2/4)) --> sqrt((2*6^2)-(28*6)+(28^2/4))

Evaluating ... ...

d = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Diagonal of Rectangle

(Calculation completed in 00.004 seconds)

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< Diagonal of Rectangle Calculators

Diagonal of Rectangle given Perimeter and Breadth

LaTeX Go Diagonal of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4))

Diagonal of Rectangle given Area and Breadth

LaTeX Go Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)

Diagonal of Rectangle given Area and Length

LaTeX Go Diagonal of Rectangle = sqrt((Area of Rectangle/Length of Rectangle)^2+Length of Rectangle^2)

Diagonal of Rectangle

LaTeX Go Diagonal of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)

Diagonal of Rectangle given Perimeter and Breadth Formula

LaTeX Go

Diagonal of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4))
d = sqrt((2*b^2)-(P*b)+(P^2/4))

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 Diagonal of Rectangle given Perimeter and Breadth?

Diagonal of Rectangle given Perimeter and Breadth calculator uses Diagonal of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4)) to calculate the Diagonal of Rectangle, Diagonal of Rectangle given Perimeter and Breadth formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle, and calculated using perimeter and breadth of the Rectangle. Diagonal of Rectangle is denoted by d symbol.

How to calculate Diagonal of Rectangle given Perimeter and Breadth using this online calculator? To use this online calculator for Diagonal of Rectangle given Perimeter and Breadth, enter Breadth of Rectangle (b) & Perimeter of Rectangle (P) and hit the calculate button. Here is how the Diagonal of Rectangle given Perimeter and Breadth calculation can be explained with given input values -> 10 = sqrt((2*6^2)-(28*6)+(28^2/4)).

FAQ

What is Diagonal of Rectangle given Perimeter and Breadth?

Diagonal of Rectangle given Perimeter and Breadth formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle, and calculated using perimeter and breadth of the Rectangle and is represented as d = sqrt((2*b^2)-(P*b)+(P^2/4)) or Diagonal of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4)). Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides & Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.

How to calculate Diagonal of Rectangle given Perimeter and Breadth?

Diagonal of Rectangle given Perimeter and Breadth formula is defined as the length of the line joining any pair of opposite vertices of the Rectangle, and calculated using perimeter and breadth of the Rectangle is calculated using Diagonal of Rectangle = sqrt((2*Breadth of Rectangle^2)-(Perimeter of Rectangle*Breadth of Rectangle)+(Perimeter of Rectangle^2/4)). To calculate Diagonal of Rectangle given Perimeter and Breadth, you need Breadth of Rectangle (b) & Perimeter of Rectangle (P). With our tool, you need to enter the respective value for Breadth of Rectangle & Perimeter 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 Diagonal of Rectangle?

In this formula, Diagonal of Rectangle uses Breadth of Rectangle & Perimeter of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diagonal of Rectangle = sqrt((Area of Rectangle/Breadth of Rectangle)^2+Breadth of Rectangle^2)
Diagonal of Rectangle = sqrt((Area of Rectangle/Length of Rectangle)^2+Length of Rectangle^2)
Diagonal of Rectangle = sqrt(Length of Rectangle^2+Breadth of Rectangle^2)

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