You don't tell me what your x represents, but from your equation I conclude that you defined x to be each of the 3 parallel sides and y as the length of the whole field
then area = xy
= x(2250 - 1.5x)
= -1.5x^2 + 2250x
your A(x) = 2250 - 1.5x^2 is almost correct,
but it is indeed a parabola and not a straight line like you claim.
(I have no idea how you graphed it as a straight line)
It should have been
A(x) = 2250x - 1.5x^2
So the x of the vertex is -b/(2a)
= -2250/-3 = 0
= 750
A(750) = 2250(750)-1.5(750)^2 = 843750
x = 750
y = 2250 - 1.5x = 1125
The length of the whole field is 1125m and each the 3 widths = 750 m
check:
3x + 2y = 4500 m as it should be
Tshabalala wants to reconstruct his farm to separate his sheep and goats. Therefore he decided to enclose a rectangular field with a fence and divide it into two smaller rectangular fields by constructing another fence parallel to one side of the field. He has 4500m of fencing. Find the dimensions of the field so that the total enclosed area is maximum.
I came up with this equation A (x)= 2250-1.5x^2 but the graph should be a parabola with a maximum point. my graph is a straight line. I need help!
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