SOLUTION: if the length of a rectangle is increased by 2 and the width is decreased by 1, the area stays the same. If the length of the original rectangle is increased by 8 and the width is
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Question 1082151: if the length of a rectangle is increased by 2 and the width is decreased by 1, the area stays the same. If the length of the original rectangle is increased by 8 and the width is decreased by 3, the area still remains the same. What are the dimensions of the original rectangle?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The area of the original rectangle is 
, and if you increase the length by 2 and decrease the width by 1 the area becomes (y\ -\ 1))
, so
(y\ -\ 1)\ =\ xy\ +\ 2y\ -\ x\ -\ 2)
Which is to say
Likewise, increasing the length by 8 and decreasing the width by 3 results in
Solve the 2X2 system for 
and 
John
My calculator said it, I believe it, that settles it
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