The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room?

Answer 1

Hi, Luke.

First let’s identify what we know.

Perimeter= 58

L= 2W-4 [ 4 feet less than twice the width

W=width

Now let’s use the perimeter formula to find W then find L.

P= 2(L) + 2(W)

58= 2(2W-4) +2W ———> replace P with 58 and L w/ (2W-4)

58= 4W-8+2W

58=6W-8

66=6W

11=6

Now find L

L= 2W-4

L = 2(11)-4

L= 22-4

L=18

Answer: L = 18 W=11