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A 20 foot piece of wire is to be cut into two pieces. One piece is...

A 20 foot piece of wire is to be cut into two pieces. One piece is used to form a circle and the other is used to form a square (imagine fence used to make a square corral and a circular corral). What lengths should be cut to make each shape in order to maximize the sum of the areas of the two shapes?

Let x = the length of the part of the wire that will be used to create the square.

a.) Find a function of x representing the length of wire that will be used to create the circle

b.) Find a function of x representing the area of the square

c.) Find a function of x representing the area of the circle

d.) Find a function of x representing the total area of the square and the circle

e.) Find the value of x that maximizes the total area of the shapes.

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Expert Solution

milcah answered 2 years ago
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