Question

The area of a rectangle is 30 + 12x. List at least 3 possibilities for the length and width of the rectangle.

Answer 1

Below in bold.

Explanation:

Area = 30 + 12x and area is also = to width * length so we need to look for factors of 30 + 12x.

30 + 12x = 6(5 + 2x)

So 6 and 5 + 2x is one possible answer.

3 and 10 + 4x is another.

12 and 2.5 + x is another.

If we multiply these pairs together we see that the result is

30 + 12x in each case.