A rectangular room is twice as long as it is wide, and its perimeter is 36 meters. Find the width of the room.

Respuesta :

(x + y)2 = 36

2y = x

y = 6

x = 12.

(6 + 12)2 = 36

width (or y) is 6.

Hope this helped :D

The width of the rectangular room is 6 meters.

What is a rectangle?

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

brainly.com/question/15725265

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