Question

A rectangular garden was planted measures 12 ft by 8 ft. You want to plant a border of roses around the garden of equal width with the same area as the garden. What should the width of the border of roses be?
the area of the garden is 96 ft^2
So, you want the walk of width w to also have 96 ft^2 of area. That means that

(12+2w)(8+2w) = 96+96

Now just solve for w.

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