Hamilton Coleman
12/22/2023 · High School

Jordan wants to enclose an outdoor rectangular garden where one side of the enclosure is bounded by their house. If they have 86 feet of fencing to work with for the remaining three sides of the garden, find the dimensions of the rectangle that will result in a maximum area and find the maximum area. Side length opposite the house: Side length perpendicular to the house:

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The dimensions for maximum area are 43 feet by 21.5 feet, resulting in a maximum area of 924.5 square feet.

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