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Quadratic Equation Word Problem : Maximum Area - Six Cages With a Chain Link Fence

1500 feet of chain link is to be used to construct 6 animal cages as shown below. Find the maximum value of this area and the dimensions that yield this area.

The area is a rectangle were the side is x. The bottom is y. It is divided by dotted lines into 6 squares where the bottom and sides are x.

Solution Summary

Area is maximized with a quadratic equation. The solution is detailed and well presented.