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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   

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) About Me  (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

%2839%2B2x%29%2864%2B2x%29=125, half of the perimeter

Answer by ikleyn(52887) About Me  (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 = 22%2F4 = 5.5 ft.