SOLUTION: a farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. what is the maximum area that the farmer can enclose with 100ft of fence?

Question 131734:
a farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. what is the maximum area that the farmer can enclose with 100ft of fence? what should the dimensions of the garden be to give this area?

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
HERE YOU HAVE A TRIANGLE WITH THREE SIDES=100 FT.
THE OPTIMUM AREA IS SIDES WITH A RATIO OF 1:2:1=4
100/4=25 SO THE LENGTH OF EACH SIDE IS:
25+50+25=100
AREA=25*50=1,250
PROOFS:
LET THE SHORT SIDES BE 24 & THE LONG SIDE BE 52
24*52=1,248
LET THE SHORT SIDE BE 26 & THE LONG SIDE BE 48
26*48=1,248

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