SOLUTION: a farmer wishes to fence a 100 m^2 garden which is rectangular in shape he has 30 m of barbed wire and is thus able to fence only 3 sides of the garden find the dimensions

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Question 918107: a farmer wishes to fence a 100 m^2 garden which is rectangular in shape he has 30 m of barbed wire and is thus able to fence only 3 sides of the garden find the dimensions
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You may want to answer the question, what are the dimensions of the rectangular shape to be fenced?

Here is the symbolized situation:

x and y are the dimensions.
xy=100 and either 2x+y=30 or x+2y=30. Pick the length equation that you want; either dimension can be used at length or width as long as you stay consistent with your choice.

Taking x%2B2y=30,
x=30-2y;
substituting into the area equation,
%2830-2y%29%2Ay=100
30y-2y%5E2=100
15y-y%5E2=50
-y%5E2%2B15y-50=0
y%5E2-15y%2B50=0
highlight%28%28y-10%29%28y-5%29=0%29

You should be able to interpret what the final equation means...