Perimeter of Rectangle given Diagonal and Length Calculator

Calculate Perimeter of Rectangle





Formula

The formula to calculate Perimeter of Rectangle (P) is:

\[ P = 2 \left( l + \sqrt{d^2 - l^2} \right) \]

Where:

Definition

The Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.

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

Let's assume the following values:

Using the formula:

\[ P = 2 \left( l + \sqrt{d^2 - l^2} \right) \]

Evaluating:

\[ P = 2 \left( 8 + \sqrt{10^2 - 8^2} \right) \]

The Perimeter of Rectangle is 28 meters.

Perimeter Conversion Chart

Length of Rectangle (l) (meters) Diagonal of Rectangle (d) (meters) Perimeter of Rectangle (P) (meters)
5 9 24.97
5 10 27.32
5 11 29.60
5 12 31.82
6 9 25.42
6 10 28.00
6 11 30.44
6 12 32.78
7 9 25.31
7 10 28.28
7 11 30.97
7 12 33.49
8 9 24.25
8 10 28.00
8 11 31.10
8 12 33.89
9 9 18.00
9 10 26.72
9 11 30.65
9 12 33.87
10 9 nan
10 10 20.00
10 11 29.17
10 12 33.27