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):
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The area of the original rectangle is , and if you increase the length by 2 and decrease the width by 1 the area becomes , so
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
