SOLUTION: A rectangle 's length is increased by 30% and its width is decreased by 30%. How much does its area change ?

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Question 239340: A rectangle 's length is increased by 30% and its width is decreased by 30%. How much does its area change ?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
AreaOfrectangle+=+Length+%2A+Width
Let L be the original Length and W be the original Width.
The original rectangle is then Area=L%2AW+=+LW
The new rectangle has Length=1.3L and a Width=0.7W
NewArea+=+1.3L+%2A+0.7W = 1.3%2A0.7LW = 0.91LW
So the new area is 91% as large as the original (that is it is 9% smaller in area)