Asked by athira
your father wants to fence a rectangular area in your backyard for a garden. one side of the garden is along rhe edgeof the yard is already fenced, so you only need to build a new fence along the other 3 sides of rectangle. if you have 80 meter of fencing available, what dimensions should the garden have in order to enclose the largest possible area?
Answers
Answered by
Steve
you have 2x+y=80
and you want the maximum area,
a = xy = x(80-2x)
find the vertex of that parabola for max area. You will find that the fence is equally distributed among the lengths and widths.
That is,
2x = 40
y = 40
so the max area pen is 20x40
and you want the maximum area,
a = xy = x(80-2x)
find the vertex of that parabola for max area. You will find that the fence is equally distributed among the lengths and widths.
That is,
2x = 40
y = 40
so the max area pen is 20x40
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