Question: Hung Lam plans to enclose a rectangular area for his chickens in his backyard using the sides of his apartment building for2of the sides, as

Hung Lam plans to enclose a rectangular area for his chickens in his backyard using the sides of his apartment building for2of the sides, as seen in the figure at left. If Hung Lam has exactly40 feet of chicken wire, what is the largest area, in square feet, he can enclose for his chickens?

I do not understand how to go from knowing that 40a-a^2=C if a and b are the lengths of the chicken coop and C is equal to ab, to finding the answer to the problem.

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