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 diagonal fencing will be the hypotenuse of a right triangle with sides 120yds long so:

h=√2(120^2))

h=√28800 yd

And the surrounding fencing will just be four times the side length of 120yds so:

s=480yd

So the total fencing needed is:

f=480+√28800 yards

f≈649.71 yd (to nearest hundredth of a yard) which is

f≈650 yds (to nearest whole yard)

But, I wasn't sure, if they just want the diagonal fencing needed then it is just:

f=√28800

f≈170 yds (to nearest yard)

Answer 2

170

Explanation:

It's 170 for plato students.