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14-06-2016
Mathematics

Answered

The perimeter of a rectangle is 50 feet and its area is 154 feet. What are the dimensions of the rectangle?

Verified Answer :

14-06-2016

11 feet by 14 feet
P=2l+2w50=2l+2w25=l+w25-w=lA=lw154=w(25-w)154=25w-w2w2-25w+154=0(w-11)(w-14)=0w-11=0w=11 ftw-14=0w=14 ftthe length and width are11 ft and 14 ft and it does not matter which is the length and which is the widthA=1114=154 sq ft50=211+2*14=22+28=50 ft

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