SOLUTION: The length of a rectangular piece of carpet is 2 meters less than 5 times its width. Find the dimensions of the carpet if its area is 16 square meters
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Question 853209: The length of a rectangular piece of carpet is 2 meters less than 5 times its width. Find the dimensions of the carpet if its area is 16 square meters
Answer by hamsanash1981@gmail.com(151) (Show Source): You can put this solution on YOUR website!
Let the width be x then the length = 5x-2
Area = 16
x(5x-2)=16
5x^2-2x-16 = 0
5x^2 - 10x +8x -16 =0
5x(x-2)+8(x-2)=0
(5x+8)(x-2)=0
x=-8/5 , x=2
Negotiating negative we have width = 2
length = 8
Dimension is 8*2
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