the length of a rectangle is 6 inches longer than its width. If the perimeter of the rectangle is 48 inches, find its area

Respuesta :

Answer: The width of the rectangle is 6 units.

Explanation: The width of the rectangle is x+6 units.

The length of the rectangle is x units.

The perimeter is P = 2l + 2w

This implies:
36 = 2(x+6) + 2x

Expand;

36= 2x + 12 +2x

Group like terms;

2x + 2x = 36 - 12

4x = 24

x = 6