Harry S.

asked • 06/09/21

What are the dimensions of the rectangular area that Louise roped off? And what is the maximum area of the rectangular area?

Louise wants to build rectangular greenhouse on the side of her house. She starts of by roping off the area she wants to build in. Since one side of the greenhouse will be the side of her house, she only needs to rope off three sides. Louise uses 36 ft of rope and maximizes the enclosed area.

Robert S.

Roger N's answer is correct. I can only add that you can also find the maximum by graphing the equation, instead of taking the first derivative. The derivative is the best approach, but the graph is a good backup. The y axis is the area and the x axis is the width. The length can be found since L = 36 - 2W.


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