Question

Bryan has a square parcel of land that is 120 yards long and 120 yards wide. The land is planted with Bermuda grass and surrounded by a fence. So that his cattle will not ruin the grass, Bryan decides to split the field into two halves and rotate his cattle on the land every 30 days. He plans to build a fence diagonally across the field. How many feet of fencing will Bryan need to split the parcel of land in half? Round your answer to the nearest yard.

Answer 1

The perimeter without the diagonal is 4*120 = 480
That covers the outside of the field

The diagonal is 120 * $\sqrt{2}$ = 169.7 yd

480 + 169.7 = 649.7 yd total of fencing