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)
O 362 feet
• 296 feet
• 247 feet
• 148 feet
To find the length of the diagonal of a square, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the square lot is 1 acre, which is equivalent to 209 feet by 209 feet. To find the length of the diagonal, we can consider one side as the base of the right triangle, and the other side as the height. The diagonal will be the hypotenuse.
Using the Pythagorean theorem, we can calculate the length of the diagonal:
Length of base = 209 feet
Length of height = 209 feet
Diagonal = √(Base^2 + Height^2)
Diagonal = √(209^2 + 209^2)
Diagonal = √(43681 + 43681)
Diagonal = √(87362)
Diagonal = 296.06
Therefore, to the nearest foot, Jamila needs 296 feet of fencing to split her herd of alpacas. The closest answer choice is 296 feet.