Question

The width of a swimming pool is 12 feet less than the pool's length. The area of the pool is 540 square feet. What are the dimensions of the pool?

Answer 1

30 feet by 18 feet

Explanation:

Area = length * width

A = x*w

w = x - 12

A = 540 sq. ft

540 = x * (x -12)

x*x - 12x - 540 = 0

x*x - 12x + 36 - 36 - 540 = 0

(x - 6)^2 - 576 = 0

x - 6 = 24

or x -6 = -24

x = 30 or x = -18

w = 30 - 12 = 18

30 ft by 18 ft