SOLUTION: The length of a rectangle is 10m less than 3 times the width. If its width were increased by 20m and its length decreased by 15m. Its new area would be 175 sq. More than the origin

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Question 1066554: The length of a rectangle is 10m less than 3 times the width. If its width were increased by 20m and its length decreased by 15m. Its new area would be 175 sq. More than the original. Find the dimentions of the rectangle.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Original rectangle
Width w
Length L
L=3w-10
Area, wL=w%283w-10%29

New rectangle
Width w%2B20
Length L-15=3w-10-15=3w-25
Area, %28w%2B20%29%283w-25%29

newRectangleArea-originalRectangleArea=175
highlight_green%28%28w%2B20%29%283w-25%29-w%283w-10%29=175%29
Simplify this and solve for w...