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.
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?
1 answer