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12 votes
The Pretty Pool company is building a pool in

Michael's back yard. The pool is to be 8 ft shorter than
it is wide and cover 240 square feet of the back yard.
What is the width of the pool?

1 Answer

1 vote

Answer:

  • 20 feet

Explanation:

The sides of rectangle are:

  • w and w - 8

The area is the product of adjacent sides:

  • A = w(w - 8) = 240

Solve the equation for w:

  • w² - 8w = 240
  • w² - 8w + 16 = 256
  • (w - 4)² = 16²
  • w - 4 = 16
  • w = 20