The best way to figure this out is by finding the greatest common factor. Use GCF to find out the to find the factors, then fill in each side with each factor set. The factors for 32 are 1, 2, 4, 8, 16, 32, so the factor sets would be 1:32, 2:16, and 4:8. Then once you have filled in each side with the factor set, use the equation for perimeter and find out if that factor set is the correct one. So, in this case, it would be 4:8 because the formula for square and rectangle perimeter is [tex]w2 + l2 = p[/tex] and [tex]4 * 2 + 8 * 2 = 24[/tex].
