we know that
shape of room is always rectangle
length = y meters
width =y-5 meters
now, we can find perimeter
perimeter=2*length +2*width
we can plug values
[tex]P=2y+2(y-5)[/tex]
now, we are given
this perimeter is 4y+1
so, we can set it equal to 4y+1
[tex]4y+1=2y+2(y-5)[/tex]
now, we can solve for y
[tex]4y+1=4y-10[/tex]
we can subtract both sides by 4y
[tex]4y+1-4y=4y-4y-10[/tex]
[tex]1=-10[/tex]
we know that 1 can not be equal to 10
so, we can not solve for y by this information
so, this is impossible o find length with this information...........Answer