SOLUTION: The dimensions of a rectangle are such that its lenghth is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 in., the area would be increa
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Question 400513: The dimensions of a rectangle are such that its lenghth is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 in., the area would be increased by 204 in.^2. What are the length and width of the rectangle?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the original width. Then the original length is represented by 
. The area of the original rectangle is then:
Doubling the length gives us 
and decreasing the width by 1 gives us 
, so the new area, which is 
is:
Multiplying the first equation by -1 and then adding it to the second equation gives:
or, in standard form:
Factor and solve for , then
John
My calculator said it, I believe it, that settles it
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