Question

A rectangular room is 1.8 times as long as it is wide, and its perimeter is 28 meters. Find the dimension of the room.

Length: meters
Width: meters

Answer 1

Width is 5 meters, and the length is 9 meters

Answer 2

Length = 9 meters, and Width = 5 meters

Explanation:

Let,

Width or breadth of the rectangular room be = x

So, Length of the rectangular room = 1.8 × x = 1.8x

As given,

Perimeter of the room = 28 m

Therefore,

By the problem,

=> 2 (l + b) = 28 m

• [On putting values of l = 1.8x and b = x]

=> 2 (1.8x + x) = 28

• [On Simplification]

=> 2 × 2.8x = 28

• [On multiplying]

=> 5.6x = 28

• [On dividing 5.6 on both sides]

`= > (5.6x)/(5.6) = (28)/(5.6)`

• [On Simplification]

=> x = 5

Now,

As we got, x = 5 so,

• Width of the rectangular room = 5 m
• Length of the rectangular room = (1.8 × 5)m = 9 m

Hence ,

Dimensions of the room are

Length = 9 meters, and

Width = 5 meters (Ans)