Courtney is building a rectangular wading pool. She wants the area of the bottom to be 54ft2. She also wants the length of the pool to be 3ft longer than twice its width. What are the dimensions of the pool?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 49PPS
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Courtney is building a rectangular wading pool. She wants the area of the bottom to be 54ft2. She also wants the length of the pool to be 3ft longer than twice its width. What are the dimensions of the pool?

  1. Draw a picture of the situations. Label any unknowns.
  2. Find the equation needed to solve.
  3. Solve the equation algebraically (factoring, completing the square, quadratic formula).
  4. Answer the equation.
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