SOLUTION: A garden's length is 6 feet more than its width. The walkway around the garden is 3 feet wide. The area of the walkway is 216 feet. What are the dimensions of the garden?

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Question 456776: A garden's length is 6 feet more than its width. The walkway around the garden is 3 feet wide. The area of the walkway is 216 feet. What are the dimensions of the garden?
Answer by stanbon(75887) About Me  (Show Source):
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A garden's length is 6 feet more than its width. The walkway around the garden is 3 feet wide. The area of the walkway is 216 feet. What are the dimensions of the garden?
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Sketch a picture of a rectangle inside a rectangle.
The inner rectangle is the garden.
Its area is W(W+6) = w^2+6w
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The area of the larger ractangle = (W+6)(W+12) = w^2+18W+72
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Area of the walkway = w^2+18w+72-(w^2+6w) = 216
12W+72 = 216
12W = 144
Width of the garden = 12 ft.
Length of the garden = 18 ft.
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Cheers,
Stan H.