Great! Now it makes sense, and this is easy.

Hopefully, you know that the area of a rectangle is Length times Width.

The names "Length" and "Width" are not carved in stone. We could just as well say that the area of a rectangle is Base times Height, and those are the names that I will use, in this exercise.

Look at the height of the rectangle.

The height is

x + 2, right?

Look at the base.

The base is

x + ? .

Therefore, the height times the base is expressed as follows.

(x + 2) * (x + ?)

We're told that this product (i.e., the area of the rectangle) equals x^2 + 7x + 10.

So, you simply need to find the correct number to replace the ? in the following equation.

(x + 2)*(x + ?) = x^2 + 7x + 10

Please show your work or explain your reasoning, if you want more help with this exercise.

If you're lost, try looking up FOIL in your textbook's index.

Cheers ~ Mark