A wildlife organization wants to fence off an area of a beach. the organization can only fence 1000 yd2. what length (x) and width (y) should the organization use to use the least amount of fencing as possible?

We assume in this number that the fence is in a rectangular shape such that its perimeter is equal to,

P = 2x + 2y

From the equation of the area,

A = xy = 1000; x = 1000/y

Substituting this to the equation,

P = 2 (1000/y) + 2

P = 2000/y + 2y

Getting the differential and equating it to zero.

dP = - 2000/y² + 2 = 0

The value of y from the equation is 31.62 yd

The value of x:

x = 1000/31.62 = 31.62 yd

Therefore, the dimension of the area to be fenced is 31.62 yd by 31.62 yd.