SOLUTION: A man has 30m of fencing. With it, he encloses 100m^2 of his garden, the boundary fence forming one side of the enclosure. What are the possible dimensions of the enclosure?

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Question 878563: A man has 30m of fencing. With it, he encloses 100m^2 of his garden, the boundary fence forming one side of the enclosure. What are the possible dimensions of the enclosure?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
The length of fencing is made into three sides. 30-2x and x are the dimensions of the garden. Letting x = one of the sides.

x%2830-2x%29=100 gives the area equation of one dimension multiplied by the other dimension.

-2x%5E2%2B30x=100
2x%5E2-30x=-50
x%5E2-15x%2B50=0
%28x-5%29%28x-10%29=0
x=5 or x=10

Other side is 30-2%2A5=20 or 30-2%2A10=10.

Dimensions can be 5 by 20, or 10 by 10.