Wondering if in area, the X is the same thing as x in the perimeter.
Area=xy=x(30-3x/2)
Assuming you know some calculus first:
dArea/dx=0=(30-3x/2)+x(-3/2)
3x=60-3x
x=10, then y=15 for max.
Now if you are not a calculus girl,
A=x(30-3x/2)= which has zeroes at x=0, and x=20
Now this is a parabola, so the max must be halfway between the zeroes, or x=10 at the peak. Then y=15
Ella wants to build a rectangular pen for her dogs with two distinct sections. The area of the enclosure can be represented by A= Xy and the total length of fencing can be represented by 3x + 2y = 60. If she had 60 ft of fencing to work with, determine the maximum area she can enclose.
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