Area of Rectangle given Perimeter and Diagonal Calculator

Formula

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

$A = \frac{\left(\frac{P}{2}\right)^2 - d^2}{2}$

Where:

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 Diagonal of a Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.

Let's assume the following values:

Using the formula:

$A = \frac{\left(\frac{28}{2}\right)^2 - 10^2}{2}$

Evaluating:

$A = \frac{\left(\frac{28}{2}\right)^2 - 10^2}{2}$

The Area of the Rectangle is 48 Square Meter.

Perimeter of Rectangle (Meter)	Diagonal of Rectangle (Meter)	Area of Rectangle (Square Meter)
24	8	40.000000000000000
24	9	31.500000000000000
24	10	22.000000000000000
24	11	11.500000000000000
24	12	0.000000000000000
26	8	52.500000000000000
26	9	44.000000000000000
26	10	34.500000000000000
26	11	24.000000000000000
26	12	12.500000000000000
28	8	66.000000000000000
28	9	57.500000000000000
28	10	48.000000000000000
28	11	37.500000000000000
28	12	26.000000000000000
30	8	80.500000000000000
30	9	72.000000000000000
30	10	62.500000000000000
30	11	52.000000000000000
30	12	40.500000000000000
32	8	96.000000000000000
32	9	87.500000000000000
32	10	78.000000000000000
32	11	67.500000000000000
32	12	56.000000000000000