SOLUTION: the length of a rectangle is 2 less than 3 times the width .if the width is tripled while the length is decreased by 2,the new perimeter is 34 more than half the original perimet

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Question 1074124: the length of a rectangle is 2 less than 3 times the width .if the width is tripled while the length is decreased by 2,the new perimeter is 34 more than half the original perimeter.find the original dimensions.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Original Rectangle
Dimensions w and 3w-2
Perimeter p,
p=2%283w-2%29%2B2w




New Rectangle
Dimensions 3w and 3w-2-2=3w-4
Perimeter description,
34%2Bp%2F2=2%283w-4%29%2B2%2A3w


Simplify the two equations.
Solve the two equations as a system for w and evaluate length.
(perimeter p can also be solved for.)