If the perimeter of a rectangular picture frame must be less than 200 in., and the width is 36 in., what must the height h of the frame be?
+249 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.
