In need of some serious help?

Posted on 2016-05-17 18:55:00 in Math by SYMONS

Many counties require in-ground swimming pools to be set back at least 5 feet from any fence line and from all buildings. 

A family plans to install a pool into their 30-foot by 60-foot backyard. They want the pool to have a 130-foot perimeter and contain as much area as possible. One pool shape they are considering is a rectangle with two semicircles attached at each end. 

Create a quadratic function to model the situation. (Hint: Recall that the area of a circle is A = πr2 and the circumference of a circle is C = 2πr.) 

A(r) = ? 

What will be the dimensions of the pool of this shape with maximum surface area? (Round your answer to one decimal place.) 

rectangle length

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