Question

A painting is 18 inches wide. It is placed inside a frame with a border that is x inches wide. The total width of the painting and the frame is 24 inches. Create an equation to model the situation, and then solve the equation to find the width of the border.

2 inches 2.5 inches 3 inches 4 inches Can someone please help me? I can't figure it out!

Answer 1

18+2x=24 inches 2x=6 inches x=3 inches

Answer 2

An equation to model the situation is
`18+2x=24` and the width of the border is 3 inches

Explanation:

Given :A painting is 18 inches wide. It is placed inside a frame with a border that is x inches wide.

The total width of the painting and the frame is 24 inches.

To Find : Create an equation to model the situation, and then solve the equation to find the width of the border.

Solution :

Width of painting = 18 inches

It is placed inside a frame with a border that is x inches wide. (from 1 side)

So, Total width of painting +frame = 18+2x

We are given that The total width of the painting and the frame is 24 inches.

So, equation becomes :
`18+2x=24`

`18+2x=24`

`2x=6`

`x=3`

Hence an equation to model the situation is
`18+2x=24` and the width of the border is 3 inches