SOLUTION: The length of the top of a table is 5 m greater than the width. The area is 66m^(2). Find the dimensions of the table.

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Question 429025: The length of the top of a table is 5 m greater than the width. The area is 66m^(2). Find the dimensions of the table.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Let w and w+5 be the width and length of the table top. Since the area is 66,

w%28w%2B5%29+=+66
w%5E2+%2B+5w+-+66+=+0. This conveniently factors to

%28w%2B11%29%28w-6%29+=+0 so we take the positive solution w = 6 meters. Hence, the length is 11 meters.