jamila keeps alpacas on a 2-acre, square lot near her home.
She has 6 alpacas and wants to build a fence diagonally to split the herd in two.
if an acre is 209 feet long, how many feet, to the nearest foot, of fencing does jamila need?
The total area of the lot is 2 acres, so it is 2 * 209 = <<2*209=418>>418 feet long on each side.
To split the herd in two, Jamila needs to draw a diagonal line through the square lot, which forms a right triangle with the sides of the square.
The length of the diagonal can be found using the Pythagorean theorem: d^2 = a^2 + b^2, where d is the length of the diagonal and a and b are the sides of the square.
Since the sides of the square are equal, we can use a = b = 418 feet.
Substituting these values into the equation, we get d^2 = 418^2 + 418^2.
Simplifying, we find d^2 = 349,124 + 349,124.
Adding the numbers on the right side, we find d^2 = 698,248.
Taking the square root of both sides, we get d = √698,248.
Calculating this value, we find d ≈ 836.22 feet.
Therefore, Jamila needs approximately 836 feet of fencing.