SOLUTION: The length of a rectangular garden is 7 ft. more than twice its width. If the perimeter of the garden is 56 ft., find the width of the rectangle.

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Question 124094: The length of a rectangular garden is 7 ft. more than twice its width. If the perimeter of the garden is 56 ft., find the width of the rectangle.
Answer by iluvbuilding429(41) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangular garden is 7 ft. more than twice its width. If the perimeter of the garden is 56 ft., find the width of the rectangle.


Ok, so you know that L=2w%2B7.


You substitute this into the formula for perimeter which is:
P=2w%2B2L


Here it is with the added values:
56=2w%2B2%282w%2B7%29


Now you multiply what's in the paretheses by 2:
56=2w%2B4w%2B14


Simplify the w's:
56=6w%2B14


Subtract 14 from both sides:
42=6w


Divide both sides by 6:
7=w


Which brings you to your answer, w=7