Answer:
5 m wide and 7 m long
Step-by-step explanation:
Let the width of the room = [tex]x[/tex]
Therefore, length of the room = [tex]x[/tex] + 2 (as it's 2 m longer than the width)
So total perimeter = 2 x width + 2 x length:
[tex]2x+2(x+2)=24[/tex]
Now rearrange and solve for [tex]x[/tex]:
[tex]2x+2x+4=24\\4x=20\\x=5[/tex]
So width = [tex]x=5[/tex]
and length = [tex]x+2=5+2=7[/tex]
Therefore, the dimension of the room is 5 m wide and 7 m long.
