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

$A=length\times width$

So, the area of the rectangular paining is

$A=12\times 10$

Using Distributive Property to decompose the factor 12, we get

$A=(10+2)\times 10$

$A=(10\times 10)+(2\times 10)$

$A=100+20$

$A=120$

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