SOLUTION: The length of a rectangle is three times as long as its width. If each side is increased by 6, the area of a new rectangle is 156 more than the area of the original rectangle. What

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Question 1064480: The length of a rectangle is three times as long as its width. If each side is increased by 6, the area of a new rectangle is 156 more than the area of the original rectangle. What are the dimensions of the new rectangle?

Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
Let w be the width of the rectangle. Then the length would be 3w. Now let a be the area of the original rectangle. Then the area of the new rectangle would be n+156. So:
w(3w)=n
3w²=n and
(w+6)(3w+6)=n+156
3w²+24w+36=n+156
24w=120
w=5
The original width of the rectangle was 5 units, and the old length was 15 units. ☺☺☺☺

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