A farmer is buying fencing to surround a square field of area 3600m^2.

What length of facing does he need to buy?

To find the length of fencing the farmer needs to buy, we first need to determine the length of one side of the square field.

As the area of the square field is given by the formula A = side^2, we can rearrange the formula to solve for the side length:

side^2 = A
side^2 = 3600m^2

Taking the square root of both sides, we have:
side = √(3600m^2)
side = 60m

Since a square has four equal sides, the length of fencing the farmer needs to buy is 4 times the length of one side:

fencing length = 4 x 60m
fencing length = 240m

Therefore, the farmer needs to buy 240m of fencing.