A rectangular garden has an area of 360 square feet. The length of the garden is 9 feet longer than the width. Find the dimensions of the garden in feet.

Answer 1

a = lw = 360

l = w + 9

Substitute:

360 = (w + 9)w

360 = w^2 + 9w

w^2 + 9w - 360 = 0

w = 15 (I used the quadratic formula and discarded the negative root.)

l = 24