Area of Rectangle given Perimeter and Length Calculator

Calculate Area of Rectangle given Perimeter and Length





Formula

The formula to calculate the Area of a Rectangle given Perimeter and Length is:

\[ A = \frac{(P \cdot l) - (2 \cdot l^2)}{2} \]

Where:

Definition

The Area of a Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

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

The Length of a Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.

How to calculate the Area of a Rectangle given Perimeter and Length

Let's assume the following values:

Using the formula:

\[ A = \frac{(28 \cdot 8) - (2 \cdot 8^2)}{2} \]

Evaluating:

\[ A = \frac{(28 \cdot 8) - (2 \cdot 8^2)}{2} \]

The Area of the Rectangle is 48 Square Meter.

Area of Rectangle given Perimeter and Length Conversion Chart

Perimeter of Rectangle (Meter) Length of Rectangle (Meter) Area of Rectangle (Square Meter)
24 6 36.000000000000000
24 7 35.000000000000000
24 8 32.000000000000000
24 9 27.000000000000000
24 10 20.000000000000000
26 6 42.000000000000000
26 7 42.000000000000000
26 8 40.000000000000000
26 9 36.000000000000000
26 10 30.000000000000000
28 6 48.000000000000000
28 7 49.000000000000000
28 8 48.000000000000000
28 9 45.000000000000000
28 10 40.000000000000000
30 6 54.000000000000000
30 7 56.000000000000000
30 8 56.000000000000000
30 9 54.000000000000000
30 10 50.000000000000000
32 6 60.000000000000000
32 7 63.000000000000000
32 8 64.000000000000000
32 9 63.000000000000000
32 10 60.000000000000000