Question

The length of bills backyard swimming pool is 60 feet longer than the width of the pool. The surface area of the water is 1600 square feet . What is the width and length of the pool

Answer 1

The width is 20 ft and the length is 80 ft

Explanation:

Area = l * w

l = w +60

SA = 1600 ft^2 ( which is the regular area) The surface area of the water is just what is on top which is length times width

1600 = l*w

Substitute in l = w+60

1600 = (w+60) *w

Distribute the w

1600 = w^2 +60w

Subtract 1600 from each side

1600-1600 = w^2 + 60w -1600

0 = w^2 + 60w -1600

Factor

0=(w-20) (w+80)

Using the zero product property

w-20=0 w+80 =0

w=20 or w=-80

The width cannot be negative so

w=20

Now we need to find the length

l = w+60

l = 60+20

l =80