p = perimiter

h = height

w = width

You have the inequality p<200, and the equation 2w+2h = p.

You can subsitute 2w+2h for p, so you get a new inequatlity of 2w+2h<200.

Since we know that w is 36, we can plug that value in: 2*36+2h<200 --> 72+2h<200.

Now we can solve this inequality for h:

72+2h<200 --> subtract 72 from both sides

2h<128 --> divide both sides by 2

h<64 --> Our answer is that the height of the frame must be less than 64 inches.