Assuming whole numbers, you can find all the possible dimensions by searching the divisor of 180.
Those are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90 and 180
Then these are the possible dimensions:
x y area = x * y
feet feet feet^2
1 180 1 * 180 = 180
2 90 2 * 90 = 180
3 60 3 * 60 = 180
4 45 4 * 45 = 180
5 36 5 * 36 = 180
6 30 6 * 30 = 180
9 20 9 * 20 = 180
12 15 12 * 15 = 180
From there on, the numbers repeat just exchanging x and y.