SOLUTION: The length of a rectangle is 4 centimeters more than its width. If the length is increased by 8 centimeters and the width is decreased by 4 centimeters, the area will remain uncha
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Question 859489: The length of a rectangle is 4 centimeters more than its width. If the length is increased by 8 centimeters and the width is decreased by 4 centimeters, the area will remain unchanged. Find the original dimensions of the rectangle.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x for length, and y for width.
Original Rectangle
; which is .
This area simplifies to .
Changed Rectangle
; substituting as for the variables assigned, .
This area simplies:
.
A used in both rectangles because area is specified as equal for both.
This equality means .
Do the rest. This equation becomes linear in y.... See how?
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