Question

If the area of a rectangle is 260, and the length is 16 feet longer than the width, what are the dimensions of the rectangle?

Answer 1

w = 10

l = 26

Explanation:

A = l x w

260 = w x (w + 16)

w^2 + 16w = 260

w^2 + 16 w - 260 = 0

w^2 - 10w + 26w - 260 = 0

w (w-10) + 26 (w - 10)

w = -26 or +10

width can not be negative so w = 10

l = w +16

l = 10+16

l = 26