Question

A rectangular room is 3 times as long as it is wide, and its perimeter is 40 meters. Find the dimension of the

room.

Answer 1

l = 15

w = 5

Explanation:

l = 3w

40 = 2l + 2w

40 = 6w + 2w

40 = 8w

8w = 40

w = 40/8

w = 5

l = 15

Answer 2

Answer: 5 meters

Why?:

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

Since the room is three times as long as its width, the 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