Question

A rectangle has an area of (a^2+4a+4) square inches, and you know that the width is (a+2) inches. You can use long division to determine the length of the box. area = length * width, length = area/width

I got this as my answer The length is going to be a+2

a+2/a^2+4a+4
is this right ?

Answer 1

Yes, a^2 + 4a + 4 = (a+2)^2, so it is a square.

You don't need to do the long division to see that, but is a good idea to know how to do it.