A landscape architect would like to design a rectangular flower garden with an area of 588 square feet is surrounded by a brick border 6 feet wide on two sides and 2 feet wide on the other two sides (see figure). What dimensions of the garden minimize the combined area of the garden and borders? What is the optimal area? ↑ y X Garden 1 y The length of the shorter side of the optimal garden is The optimal garden has an area of The length of the longer side of the optimal garden is feet squared. X feet long. feet long.

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A landscape architect would like to design a rectangular flower garden with an area of 588 square feet is
surrounded by a brick border 6 feet wide on two sides and 2 feet wide on the other two sides (see figure).
What dimensions of the garden minimize the combined area of the garden and borders? What is the optimal
area?
↑ y
X
Garden
↑ y
The length of the shorter side of the optimal garden is
The optimal garden has an area of
The length of the longer side of the optimal garden is
feet squared.
X
feet long.
feet long.
Transcribed Image Text:A landscape architect would like to design a rectangular flower garden with an area of 588 square feet is surrounded by a brick border 6 feet wide on two sides and 2 feet wide on the other two sides (see figure). What dimensions of the garden minimize the combined area of the garden and borders? What is the optimal area? ↑ y X Garden ↑ y The length of the shorter side of the optimal garden is The optimal garden has an area of The length of the longer side of the optimal garden is feet squared. X feet long. feet long.
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