1. Lateral Area

The lateral area of a rectangular prism is 156 square inches. What are the possible whole-number dimensions of the prism if the height is 13 inches?

Since lateral area = (perimeter)(height), would it be something like...

$156$ $=$ $(a)$ $(13)$

...? And if that were how you set it up, how would I split $a$ up to be those four sides of the base of the prism?

I just can't seem to wrap my head around it

2. It's a rectangular prism. It has length, width, and height.

The lateral surface area is

2*length*height + 2*width*height = (2*length + 2*width)(height) = perimeter*height

156 = a*13

156 = 2*2*3*13

You should be able to see it from the prime factorization.