Question

The width of a rectangular rug is one-sixth of the length.

Answer 1

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