Group Activity Designing a Swimming Pool Thompson
Chapter 2, Problem 2.1.1.573(choose chapter or problem)
Group Activity Designing a Swimming Pool Thompson Recreation, Inc., wants to build a rectangular swimming pool with the top of the pool having surface area \(1000 \mathrm{ft}^{2}\) . The pool is required to have a walk of uniform width 2 ft surrounding it. Let x be the length of one side of the pool.
(a) Express the area of the plot of land needed for the pool and surrounding sidewalk as a function of x.
(b) Find the dimensions of the plot of land that has the least area. What is the least area?
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