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A rectangle has a length 5 feet greater than its width. If both dimensions are increased by 2 feet, write an expression for the difference in the areas of the rectangle
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A rectangle has a length 5 feet greater than its width. If both dimensions are increased by 2 feet, write an expression for the difference in the areas of the rectangle

User Robert Brax
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1 Answer

5 votes
W
L = W +5
New dimensions:
L' = L+2 = W+5+2 = W +7
W' = W+ 2

A = W(W+5)
A' = (W+2)(W+7)
A' - A = (W+2)(W+7) - W(W+5)
= W^2 + 9W +14 - W^2 - 5W
= 4W + 14
User Matt Berkowitz
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8.6k points
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