Question

A watercolor painting is 23 inches long by 8 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 1 inch to each side of the length and the width. What is the area of the mat?

1238



The area of the mat is

square inches.

Answer 1

We have been given that a watercolor painting is 23 inches long by 8 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 1 inch to each side of the length and the width. We are asked to find the area of the mat.

The mat will increase the length and width of painting. Since Ramon adds border of 1 inch on each side, so length and width will be increased by 2 inches.

`23+1+1=25`

`8+1+1=10`

The area of the mat will be area of painting with border minus area of painting.

Since the painting is rectangular, so its area will be length times width.

`\text{Area of mat}=25* 10-23* 8`

`\text{Area of mat}=250-184`

`\text{Area of mat}=66`

Therefore, the area of the mat is 66 square inches.