Answer:
Length = 10.81 m
Width = 5.69 m
Step-by-step explanation:
Let the width of the room be [tex]x[/tex].
As per question, length is 1.9 times its width.
Therefore, length is, [tex]l=1.9x[/tex]
Perimeter is 33 meters.
Perimeter is given as,
[tex]P=2(l+x)\\33=2(1.9x+x)\\33=2(2.9x)\\33=5.8x\\x=\frac{33}{5.8}=5.69\textrm{ m}[/tex]
Therefore, width of the room is 5.69 m.
Length of the room is, [tex]l=1.9x=1.9\times 5.69=10.81\textrm{ m}[/tex]
Therefore, the length of the room is 10.81 m.
