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 twe an acre is 209 feet long, how many feet , to the nearest foot, of fencing does Jamila need ? (1 point ) 362 feet 0296 feet 148 feet 247 feet
To find the length of the diagonal fence, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
In this case, both side lengths of the square lot are each 209 feet, so each side of the square would be the same length as the diagonally split fence.
Using the Pythagorean theorem, we can calculate the length of the fence as follows:
c^2 = a^2 + b^2
c^2 = 209^2 + 209^2
c^2 = 43561 + 43561
c^2 = 87122
c ≈ √87122
c ≈ 295.0916
Rounding to the nearest foot, Jamila would need approximately 295 feet of fencing. None of the given answer choices match this value. Therefore, the answer is not present among the options provided.