Originally Posted by

**FabulousMuah** OK heres the problem:

Designing a Swimming Pool

Thompson Recreation, Inc., wants to build a rectangular swimming pool with the top of the pool having surface are 1000ft squared. 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?