A rectangular room is 5 feet longer than it is wide. If the perimeter of the room is 46 feet, what are the dimensions?

a) What is the width of the room?

b) What is the length of the room?

Let the length be "l"

and the width be "w"

I am assuming you mean "l" at the start as it is unspecified on what "rectangular room means" the perimeter? What parameters, so

l=w+5

2l+2w=46

substitue,

2(w+5)+2w=46

4w=36

w=9

l=14