SOLUTION: A rectangle is three times as long as it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 36 cm (squared). find its original dimensions.
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Question 104097: A rectangle is three times as long as it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 36 cm (squared). find its original dimensions.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
L=3w
(3w-2)(w-2)+36=3w^2
3w^2-8w+4+36=3w^2 subtract 3w^2 from each side.
-8w+40=0
-8w=-40 subtract 40 from each side.
w=5 divide each side by -8
L=15
Check:
5*15=75
3*13=39
75-39=36
Ed
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