The area of a rectangular hallway is 120 square feet. If the length and the width are both composite numbers what are the possible dimensions of the hallway? Would it be 40 by 4?

Answer 1

so you want LW = 120
where L and W are composite , where composite means not prime
120 = (using integers only)
1 x 120
2x60
3x40 *
4x30 *
5x24
6x20 *
8x15 *
10x12 *

I have labeled the ones without a prime number with an *
so I count 5 of them

Your choice of 40 by 4 wouldn't even give us our correct area of 120