Question

Erika is painting a rectangular painting. The painting has a length of 12 and a width of 10 inches. Use the Distributive Property to decompose the factor 12. Then find the area of the painting.

Answer 1

Given:

Length of the painting = 12 inches

Width of the painting = 10 inches

To find:

The area of the rectangular painting by using Distributive Property to decompose the factor 12.

Solution:

The area of a rectangle is

`A=length* width`

So, the area of the rectangular paining is

`A=12* 10`

Using Distributive Property to decompose the factor 12, we get

`A=(10+2)* 10`

`A=(10* 10)+(2* 10)`

`A=100+20`

`A=120`

Therefore, the area of the rectangular painting is 120 square inches.