The length of a picture frame is inches more than the width. For what values of x is the perimeter of the picture frame greater than ​inches?

For x greater than 36 inches, the perimeter of the picture frame is greater than 156 inches.

Step-by-step explanation:

If the width of the picture frame is x inches,

The length of the same is (x + 6) inches

Therefore, the perimeter of the picture frame is 2[(x + 6) + x] =4x + 12 inches

Therefore, for the perimeter to be greater than 156 inches,

4x + 12 > 156

=> 4x > (156 - 12)

=> 4x > 144

=> x > 36