### Home > CCA > Chapter 3 > Lesson 3.2.2 > Problem 3-49

3-49.

*product* and as a *sum*. Homework Help ✎

Find the height and the base by finding the dimensions of each row and column.

height = *x* + 2 base = 2*x* + 4

To find the area as a product, area = base × height.

area = (2*x* + 4)(*x* + 2)

To express the area as a sum, add up all of the tiles and simplify.

*x* + *x* + 1 + 1 + 1 + 1 + *x* + *x* + 1 + 1 + 1 + 1 + *x*² + *x*² + *x* + *x* + *x* + *x* = 2*x*² + 8*x* + 8

Area as a product = (2*x* + 4)(*x* + 2)

Area as a sum = 2*x*² + 8*x* + 8