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 a

Question

2 years ago

10

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 a

nd 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!

Mathematics

2 answers:

Juliette [100K] · Answer 1 · 2022-03-25T19:34:03+03:00

Juliette [100K]2 years ago

8 0

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

expeople1 [14] · Answer 2 · 2022-03-25T21:36:29+03:00

Answer:

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

Step-by-step 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