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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

Respuesta :

Width is 5 meters, and the length is 9 meters
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Answer:

Length = 9 meters, and Width = 5 meters

Step-by-step 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]

[tex] = > \frac{5.6x}{5.6} = \frac{28}{5.6} [/tex]

  • [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)

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