Question 190555
.
Let x = width of frame
then
(14-2x)(18-2x) = 192
(14-2x)(18-2x) = 192
252 - 28x -36x + 4x^2 = 192
252 - 64x + 4x^2 = 192
4x^2 - 64x + 252 = 192
4x^2 - 64x + 60 = 0
x^2 - 16x + 15 = 0
(x-15)(x-1) = 0
x = {1,15}
.
We can toss out the 15 leaving us with:
x = 1 cm