Answer:
since the total amount of wire is not given, I looked for a similar question:
- you have 800 yards of wire at your disposal
since we need to only calculate 3 sides of the land plot, our perimeter will be:
L + 2W = 800
area = L x W
L = 800 - 2W
now we replace:
area = (800 - 2W) x W = 800W - W²
we can write a quadratic equation:
area = -W² + 800W
the vertix of W = -b/2a
the coefficients of our quadratic equation are: -2 and 8
the vertix of W = -800 / (2 x -2) = -800 / -4 = 200 yards
width = 200 yards
length = 800 - (200 x 2) = 400 yards
maximum area enclosed = 200 x 400 = 80,000 sq yards
