more math lol help???

Question

yeah 155 problems left but i suck at geometry lol soooo heres da problem

your team is instructed to plant the trees in a rectangular region you can use any rectangle as long as its area is 1600 ft squared.. if the side lengths in feet are natural numbers what are the possible dimensions of the region?


confusing lol grrrrrrr i hate math and my teacher, Mr. Butori, doesnt hold back on givin us lotsa problems.

Answer 1

Explaining how to do this exactly is difficult, but in general:
Completely factor the 1600 sq. ft. into 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5.
Then, starting with 1 which is always a factor, take the factors in groups of 1, then 2, then 3, etc.

The short side can take the value 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, or 40. Then long side can be 1600 divided by each of the short side values.