A rectangular room is 4 feet longer than it is wide. If tThe perimeter of the room is 38 feet, what is the length of the room?

Let us assume the width of the rectangular room = x feet

then

Length of the rectangular room = x + 4 feet

Perimeter of the rectangular room = 38 feet

Then

Perimeter of the rectangular room = 2 (length + Width)

38 = 2 [x + (x + 4) ]

38 = 2 (2x + 4)

38/2 = 2x + 4

19 = 2x + 4

19 - 4 = 2x

15 = 2x

x = 15/2

= 7.5 feet

So the length of the rectangular room is 7.5 feet.