You can divide the field into two squares of area 2500 yd^2. The side of each of those will be √2500 = 50 yd.
The dimensions of the field are 50 yd by 100 yd.
the correct answer should be 2radical 13
Their error is that they divided 12 by 30, instead of 30 by 12 in order to get the price per pair
the correct unit price is $2.50 per pair
2.5 * 12 = 30
let length of one piece = x
length of other piece = 236-x
one piece is three times the length of the other
x=3(236-x)
x=708-3x
4x=708
x=177
so first piece is 177 inches long and second piece is (236-177)= 59 inches long