Answer:
width = 4
Step-by-step explanation:
Let the length = x.
The width is x/6.
perimeter = x + x + x/6 + x/6
perimeter = 56
x + x + x/6 + x/6 = 56
2x + x/3 = 56
6x/3 + x/3 = 56
7x/3 = 56
Divide both sides by 7.
x/3 = 8
x = 24
The length is 24.
width = x/6 = 24/6 = 4
Check: 24 + 24 + 4 + 4 = 48 + 8 = 56
The perimeter does equal 56.
Answer: width = 4
