SOLUTION: The length of a rectangular rug is 4 feet more than the width. The area of the rug is numerically 1 more than the perimeter. find the dimension

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Question 763533: The length of a rectangular rug is 4 feet more than the width. The area of the rug is numerically 1 more than the perimeter. find the dimension
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Let Width be W
Length L = W + 4
Perimeter = 2(W + W + 4) = 4*W + 8
Area = W*(W+4) = W^2 + 4*W
Area = Perimeter + 1 (numerically)
W%5E2+%2B+4%2AW+=+4%2AW+%2B+8+%2B+1
Cancelling out the 4*W on both sides
W%5E2+=+9
W = +3 or -3
Taking the positive value
Width = highlight%283%29 and Length = highlight%287%29

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