SOLUTION: If the width of a rectangular garden is increased by 3m and the length increased by 5m, the width becomes 3/5 of the length and the area increased by 135m^2. Find the original leng

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Question 1127816: If the width of a rectangular garden is increased by 3m and the length increased by 5m, the width becomes 3/5 of the length and the area increased by 135m^2. Find the original length.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If original width and length are w and L, the the description makes this system of equations:

system%28%28w%2B3%29%28L%2B5%29=wL%2B135%2Cw%2B3=%283%2F5%29%28L%2B5%29%29

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system%285w-3L=0%2C5w%2B3L=120%29--------start by Elimination of the L terms to find w quickly, and then use this to find L.

Note, also L=5w%2F3.

highlight%28L=20%29