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 answer is choices are 296,362,247,or 148
A 2-acre square lot has an area of 2 acres * 209 feet per acre = <<2*209=418>>418 feet.
To find the length of one side of the square lot, we take the square root of the area: √418 = 20.44 feet.
If Jamila wants to split the herd in two diagonally, she needs to build a fence from one corner of the square lot to the opposite corner.
This fence will form a right triangle with two sides of length 20.44 feet.
Using the Pythagorean theorem, we can find the length of the diagonal fence, which is the hypotenuse:
Length of the diagonal fence = √((20.44^2) + (20.44^2)) = 28.97 feet.
Rounded to the nearest foot, Jamila needs 29 feet of fencing. None of the given choices match the correct answer.