Question

The perimeter of Raul's picture frame is 108 centimeters the length of the picture frame. Is. 18 centimeters that is. The width of the picture frame

Answer 1

36 centimeters

Explanation:

Given: The length of a rectangular picture frame is 18 centimeters. The frame has a perimeter of 108 centimeters.

To find: Width of the rectangular picture frame.

Solution:

It is given that length of the frame is 18 centimeters.

The perimeter of the frame is 108 centimeters.

Let the x represent the width of the frame.

We know that perimeter of the rectangle is
`2(l+w)`

Now,

`\text{Perimeter}=2(l+w)`

`\implies 6x=96`

`\implies 2(18+x)=108`

`\implies 18+x=54`

`\implies x=36`

So, width of the frame is 36 centimeters.

Answer 2

A picture frame is usually a square or rectangle, right? So that means two of the sides had to have a length of 18 centimeters. So, we multiply 18 by 2 and subtract  (because we have to add all the sides to get the perimeter) that answer from the perimeter. We come out with 72. Now we have to divide 72 by 2 because there were 2 other sides. 72 divided by 2 comes out to be 36. The picture frame was 36 centimeters wide :) Hope this helps you!