Marge wants to build a sidewalk of uniform width around a rectangular swimming pool that is 80 feet long and 50 feet wide. she has 2000 square feet of concrete to create the sidewalk. what should be the width of the sidewalk

For this case, the first thing we are going to do is rewrite the expression of the pool area again.

We have then:

(80 + 2W) (50 + 2W) - 80 (50) = 2,000

Rewriting we have:

4000 + 160W + 100W + 4W ^ 2 - 4000 = 2000

4W ^ 2 + 260W - 2000 = 0

W1 = 6.949334595148748

W2 = - 71.94933459514874 (ignore)

round:

W = 6.95

Answer:

the width of the sidewalk should be:

W = 6.95 feet