### Home > CCA > Chapter 3 > Lesson 3.2.3 > Problem 3-58

3-58.

Examine the rectangles formed with tiles below. For each figure, write its area as a product of the width and length and as a sum of its parts.** **Homework Help ✎

a.

Find the outside dimensions of the large rectangle.

See dimensions below.

As a product: multiply the dimensions of the large rectangle together.

As a sum: add up the areas of all of the small rectangles.area as product = (length)(width) = (

*x*+ 3)(*x*+ 1)

area as sum =*x*+*x*+*x*+*x*^{2}+ 1 + 1 + 1 +*x*=*x*^{2}+ 4*x*+ 3

Use the same method as part (a).

area as a product = (length)(width) = (2

*x*+ 1)(*x*+ 2)

product as a sum =*x*^{2}+*x*^{2}+*x*+*x*+*x*+*x*+*x*+ 1 + 1 =

2*x*^{2}+ 5*x*+ 2