Jamila keeps alpacas on a 1-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 point) Responses 362 feet 362 feet 148 feet 148 feet 247 feet 247 feet 296 feet 296 feet
To split the herd in two, Jamila needs to build a fence diagonally across the square lot.
The diagonal of a square can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the square lot has an area of 1 acre, which is 209 feet long on each side.
The length of the diagonal (d) can be found using the formula:
d^2 = 209^2 + 209^2
d^2 = 43561 + 43561
d^2 = 87122
Taking the square root of both sides:
d ≈ 295.49 feet.
Therefore, to the nearest foot, Jamila needs approximately 296 feet of fencing to split the herd in two.