The length of a rectangular garden is 15 more than the width. The area is 54 square units. Find the dimensions of the garden.

Answer 1

l = w + 15

w(w + 15) = 54

w2 + 15w = 54

w2 + 15w - 54 = 0

(w + 18)(w - 3) = 0

w + 18 = 0

w = -18

Since we don't measure using negative numbers, we disregard this answer.

w - 3 = 0

w = 3 units

l = 3 + 15

l = 18 units