Answer:
The width of the room is 20 feet.
The Length of the room is [tex]46[/tex] feet.
Step-by-step explanation:
Lets take the width of the room as [tex]x[/tex] feet
Then the length of the room will be [tex]2x+6[/tex] feet
Perimeter of a room is the addition of all the walls making the boundary of the room.
Perimeter of the rectangular room = 2 * Width + 2 * Length
⇒[tex]132=2*x+2*(2x+6)[/tex]
⇒[tex]132=2x+4x+12[/tex]
⇒[tex]132=6x+12[/tex]
⇒[tex]132-12=6x[/tex]
⇒[tex]120=6x[/tex]
⇒[tex]20=x[/tex]
Therefore,
The width of the room is 20 feet.
The Length of the room is,
[tex]2x+6[/tex] = [tex]2*20+6[/tex] = [tex]46[/tex] feet
