SOLUTION: A vacant rectangular lot is turned into a garden measuring 39 feet wide by 64 feet. A path of uniform width is to surround the garden. If the perimeter of the path is 250 feet, wha

Question 1096221: A vacant rectangular lot is turned into a garden measuring 39 feet wide by 64 feet. A path of uniform width is to surround the garden. If the perimeter of the path is 250 feet, what is the width of the path?
The length of a rectangle is 9 inches more than its width. If the area of the rectangle is 400 square inches, find the length and width of the rectangle.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
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rectangular lot is turned into a garden measuring 39 feet wide by 64 feet. A path of uniform width is to surround the garden. If the perimeter of the path is 250 feet, what is the width of the path?
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x, the uniform width of path surrounding garden

, half of the perimeter
Answer by ikleyn(52898) (Show Source): You can put this solution on YOUR website!
.
The correct equation is

(39+2x) + (64+2x) = 125, half of the perimeter,

where x is the uniform width of path surrounding garden.

The solution is 4x = 125 - 39 - 64 = 22 ====> x = = 5.5 ft.

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