Question

The length of a rectangle is 6 m longer than its width. if the perimeter of the rectangle is 48 m , find its area.

Answer 1

135m²

Explanation:

Perimeter = 2(l + w)

l = w + 6

Substituting for l, gives;

2(w+6+w)

48 = 2w + 12 +2w

48 = 4w + 12

48 - 12 = 4w

36 = 4w

w = 9

Since w = 9, then l = w +6

l = 9 + 6

l = 15

Area = l * w

Area = 15 * 9

Area = 135m²