SOLUTION: The singles court in badminton is 27 feet longer than it is wide.If its perimeter is 122 feet, what are the length and the width.

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Question 1016737: The singles court in badminton is 27 feet longer than it is wide.If its perimeter is 122 feet, what are the length and the width.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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W=width; L=length=W+27ft
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P=2(L+W)
122ft=2(L+W)
61ft=L+W
61ft=(W+27ft)+W
61ft=2W+27ft
34ft=2W
17ft=W
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ANSWER 1: The width is 17 feet.
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L=W+27ft=17ft+27ft=44ft
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ANSWER 2: The length is 44 feet.
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CHECK:
P=2(L+W)
122ft=2(44ft+17ft)
122ft=2(61ft)
122ft=122ft
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