Can you show me? The perimeter of a picture frame is 11 feet. If three times the height is equal to eight times the width, what are the dimensions of the frame? Answer is 1.5 ft by 4 ft.

Question

Can you show me how you get the answer?

Answer 1

2(h + w) = 11

h + w = 5.5

h = 5.5 - w

3h = 8w

3(5.5 - w) = 8w

16.5 - 3w = 8w

11w = 16.5

w = 1.5 ft

h = 5.5 - 1.5

w = 4 ft