Perimeter of Rectangle given Diagonal and Breadth 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%
✖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 given Diagonal and Breadth [P]

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Formula

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Perimeter of Rectangle given Diagonal and Breadth

Formula

P = 2 \cdot (\sqrt{d^{2} - b^{2}} + b)

Example

28 m = 2 \cdot (\sqrt{{10 m}^{2} - {6 m}^{2}} + 6 m)

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Perimeter of Rectangle given Diagonal and Breadth Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Diagonal of Rectangle: 10 Meter --> 10 Meter No Conversion Required
Breadth of Rectangle: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*(sqrt(d^2-b^2)+b) --> 2*(sqrt(10^2-6^2)+6)

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

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

Go Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2))

Perimeter of Rectangle given Area and Length

Go Perimeter of Rectangle = (2*(Area of Rectangle+Length of Rectangle^2))/Length of Rectangle

Perimeter of Rectangle

Go Perimeter of Rectangle = 2*(Length of Rectangle+Breadth of Rectangle)

< Perimeter of Rectangle Calculators

Perimeter of Rectangle given Diagonal and Breadth

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

Perimeter of Rectangle given Diagonal and Length

Go Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2))

Perimeter of Rectangle given Area and Length

Go Perimeter of Rectangle = (2*(Area of Rectangle+Length of Rectangle^2))/Length of Rectangle

Perimeter of Rectangle

Go Perimeter of Rectangle = 2*(Length of Rectangle+Breadth of Rectangle)

Perimeter of Rectangle given Diagonal and Breadth Formula

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

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 Breadth?

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

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

FAQ

What is Perimeter of Rectangle given Diagonal and Breadth?

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

How to calculate Perimeter of Rectangle given Diagonal and Breadth?

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