Question

The area of a parallelogram is six square units. Both the height and the length of the base are whole numbers. What are the possible length and height?

Answer 1

well, the area of a parallelogram is simply A = bh.

we know that "b" and "h" are whole numbers or namely integers, and we know the area is 6, doing a quick prime factoring of 6 we simply get

6 = 2 * 3

2 and 3 are both prime, in how many ways can we arrange them? just 2 and 3 or 3 and 2, so those are the only possible values for "b" and "h".