SOLUTION: The length of a rectangle is three times its width. If the width is decreased by 1 meter and the length is increased by 3 meters, the area will be 72 square meters. Find the dimens
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Question 844440: The length of a rectangle is three times its width. If the width is decreased by 1 meter and the length is increased by 3 meters, the area will be 72 square meters. Find the dimensions of the original rectangle.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
ORIGINAL
y length, x width
A for area, , ,
CHANGED
Length becomes y+3, and width becomes x-1;
The changed rectangle area, .
-
The analysis in "Original" shows that xy=A=3x^2, so we can substitute that here.
The analysis in "Original" also shows that y=3x, so we can substitute for y.
, extremely neat since the changed equation already contains a 3x term.
-------Width of the original rectangle.
-
; -------Length of original rectangle.
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