Question

A watercolor painting is 24 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?

Answer 1

Given: It is given that the length of the painting is 24 inches and the width is 11 inches.

To find: Area of the mat

Solution:

The watercolor painting is 24 inches long by 11 inches wide.

So, the area of the painting is:

`\text{Area of painting}=l* b`

`\text{Area of painting}=24* 11`

`\text{Area of painting}=264 \text{ in}^2`

The length of painting with mat is = 24 in + 3 in + 3 in = 30 in

The width of painting with mat = 11 in + 3 in + 3 in = 17 in

`\text{Area of painting with mat}=30* 17`

`\text{Area of painting with mat}=510 \text{ in}^2`

Now to calculate the area of mat subtracts the area of painting from the area of the mat.

`\text{Area of mat}=\text{Area of painting with mat}-\text{Area of painting}\\`

`\text{Area of mat}=510-264`

`\text{Area of mat}=246 \text{ in}^2`

Hence, the area of the mat is 246 in².