Question

The base of a rectangle is 8 feet more than the height. If the area of the rectangle is 48 square feet, find the dimensions of the rectangle.

Answer 1

Keeping in mind that a = bh

48 = b*(b-8)

48 = b^2-8b

b^2 - 8b - 48 = 0

(b-12)*(b+4) = 0

b = 12, b = -4

We can't have a negative base so:

base = 12, height = 4

Answer 2

The larger dimension is 12 and the smaller one is 4