SOLUTION: A small vegetable garden is enlarged by increasing the length by 3m and the width by 1m. The area of the new garden is three times larger than that of the original garden. Determin

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Question 1071084: A small vegetable garden is enlarged by increasing the length by 3m and the width by 1m. The area of the new garden is three times larger than that of the original garden. Determine the dimensions of the original garden if its area was 6m
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Its area WAS 6 SQUARE meters, wL=6 with original w width and L length.

New area when enlarged, %28L%2B3%29%28w%2B1%29=3%2AwL
%28L%2B3%29%28w%2B1%29=3%2A6
%28L%2B3%29%28w%2B1%29=18
wL%2B3w%2BL%2B3=18
wL%2B3w%2BL=15
6%2B3w%2BL=15
highlight_green%283w%2BL=9%29
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Original area gives L=6%2Fw.
Substituting for L in the "new area" equation gives highlight_green%283w%2B6%2Fw=9%29.
Continue with this equation to find the value for w.
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