Your company wants to make the largest and most luxurious rectangular dog kennels possible with 72 feet of fencing. The design

Question

Your company wants to make the largest and most luxurious rectangular dog kennels possible with 72 feet of fencing. The design of the kennel is to use the back side of the dog owner's house as one side of the kennel. The other three sides of the kennel must be made from the fencing. What is the largest area your company can make for these new kennels?

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