The width of the rectangular room is 6 meters.
A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
Let the width of the rectangular room, w = x
A rectangular room is twice as long as it is wide,
length of the rectangular room, l = 2x
The perimeter of the rectangle = 36 meters.
The formula of perimeter of rectangle is
[tex]P=2(w+l)[/tex]
⇒ [tex]36=2(x+2x)[/tex]
⇒ [tex]36=2(3x)[/tex]
⇒ [tex]x=\frac{36}{6}[/tex]
⇒ [tex]x=6[/tex]
Hence we can conclude that the width of the rectangular room is 6 meters.
Learn more about the rectangles here
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