Mike has made a rectangle using 48 square tiles. If he adds the length and width of his rectangle together he gets a prime number. What is the length and width of the rectangle?

Answer 1

If he adds length and width to get a prime, then their sum must be odd. So, one of the terms is even, the other odd. The only factors of 48 that fit these conditions are 3 and 16

3*16 = 38
3+16 = 19 a prime

Answer 2

oops: 3*16 = 48