SOLUTION: a rectangle is three times as long as it is wide. if its length and width are both decreased by 2cm, its area is decreased by 36cm squared. find its original dimensions.

Question 174027: a rectangle is three times as long as it is wide. if its length and width are both decreased by 2cm, its area is decreased by 36cm squared. find its original dimensions.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The width is so the length is . The area of the original rectangle is then

The smaller rectangle measures by , and the new area is , but this new area is smaller than the original, so

Collect terms, solve for and you have the original width.
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