SOLUTION: The length of a rectangle is 4 inches more than its width. If the area of the rectangle is 77 square inches what is its length?

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Question 383980: The length of a rectangle is 4 inches more than its width. If the area of the rectangle is 77 square inches what is its length?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the width is w and the length is 4+w. We have
w%284+%2B+w%29+=+77
w%5E2+%2B+4w+-+77+=+0
This factors to
%28w+%2B+11%29%28w+-+7%29+=+0
Therefore the only (positive) root is w = 7. Therefore the length is 11.