SOLUTION: A garden is in the shape of a rectangle. One side of the garden has length 27 ft. The other side has length x. You plan to build a sidewalk of width 6 ft to surround the garden. Th

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A garden is in the shape of a rectangle. One side of the garden has length 27 ft. The other side has length x. You plan to build a sidewalk of width 6 ft to surround the garden. Th      Log On

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Question 842222: A garden is in the shape of a rectangle. One side of the garden has length 27 ft. The other side has length x. You plan to build a sidewalk of width 6 ft to surround the garden. The cost to dig the ground and pour concrete to build the sidewalk is $92 per square foot. Express the cost to build the sidewalk as a function of x. Sidewalk cost=
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Rectangles have one width and one length. The do not have two lengths nor do they have two widths.
If a quadrilateral has two lengths then it is not a rectangle.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the garden is:
+27x+
The area of the garden plus the sidewalk is:
+%28+27+%2B+6+%2B+6+%29%2A%28+x+%2B+6+%2B+6+%29+
+%28+27+%2B+12+%29%2A%28+x+%2B+12+%29+
+39x+%2B+468+
-----------------
The area of the sidewalk is:
+A+=+%28+39x+%2B+486+%29+-+%28+27x+%29+
+A+=+39x+-+27x+%2B+486+
+A+=+12x+%2B+486+
Cost to build sidewalk = ( area in sq ft ) x ( cost/ sq ft )
+C+=+%28+12x+%2B+486+%29%2A92+
+C+=+1104x++%2B+44712+