Which inequality can be used to find all possible widths of the room?

Question

In a floor plan, the length, l, of a rectangular room is twice its width, w. The perimeter of the room must be greater than 72 feet. Which inequality can be used to find all possible widths of the room, in feet?

A.6w>72

B.6w<72

C.3w>72

D.3w<72

Answer 1

l = 2w

2l + 2w > 72

l + w > 36

2w +w > 36

3w > 36 multiply by 2

6w > 72 w>72/6 = 13, w>12

A) is correct