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The yard behind the Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet longer than the width w of the yard, what is the area of the yard, in square feet?

 Dec 1, 2016
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Perimeter  = 2W + 2L  ..... and the  width is 18 more than the length....therefore

 

Perimeter  = 2[L + 18] + 2L

 

72  = 2L + 36 + 2L

 

72  = 4L  + 36      subtract 36 from each side

 

36  =  4L    divide both sides by 4

 

9  = L      and the width is 18 more   = 27

 

So....the area  = W x L    =  27 x 9   =  243 square feet

 

 

 

cool cool cool

 Dec 1, 2016

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