SOLUTION: A rectangular field is to enclosed with 600 m of fencing. What dimensions will produce a maximum area?

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Question 304822: A rectangular field is to enclosed with 600 m of fencing. What dimensions will produce a maximum area?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2X+2Y=600
X+Y=300
X=300-Y
XY=(300-Y)Y
300Y-Y^2
Y^2-300+22,500=22,500 COMPLETING THE SQUARE.
(Y-150)^2=22,500
Y=150 ANS. FOR THE SIDES OF THE SQUARE WITH AN AREA OF 22,500.