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
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 answer
1 answer