# engineering mathematics 1

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?

1. 1
1. 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

posted by Steve

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