A rectangular room is three times as long as it is wide, the perimeter is 40 meters. Find the width of the room?

Question

A rectangular room is three times as long as it is wide, the perimeter is 40 meters, find the width of the room 

Answer 1

Let the width of the room be denoted by 'W'

Since the room is three times as long as its width, length will be '3W'

 

remember perimeter of a rectangle is =  2(length + width) and is given in the question as 40 meters.

       Perimeter =  2 (length + width)

                  40 = 2 (3W + W)

                  40 = 2 (4W)

                  40 = 8W

(Dividing both sides by 8), gives

                  5 = W

 

So width of the room is 5 meters.

Answer 2

P = 2l + 2w

l = 3w

40 = 2(3w) + 2w

40 = 8w

w = 5

 

l = 3(5) = 15