Answer:
36 centimeters
Step-by-step 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)](https://tex.z-dn.net/?f=2%28l%2Bw%29)
Now,
![\text{Perimeter}=2(l+w)](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%7D%3D2%28l%2Bw%29)
![\implies 6x=96](https://tex.z-dn.net/?f=%5Cimplies%206x%3D96)
![\implies 2(18+x)=108](https://tex.z-dn.net/?f=%5Cimplies%202%2818%2Bx%29%3D108)
![\implies 18+x=54](https://tex.z-dn.net/?f=%5Cimplies%2018%2Bx%3D54)
![\implies x=36](https://tex.z-dn.net/?f=%5Cimplies%20x%3D36)
So, width of the frame is 36 centimeters.