Answer:
Rug's length is equal to [tex]40[/tex] feet.
Step-by-step explanation:
Width of a rectangular hallway rug [tex](w)=9[/tex] feet
Diagonal of a rectangular hallway rug[tex](d)=41[/tex] feet
The relation between width [tex](w)[/tex], length [tex](l)[/tex] and diagonal [tex](d)[/tex] is given as follows:
[tex]l^2+w^2=d^2[/tex]
[tex]l^2+9^2=41^2\\l^2+81=1681\\l^2=1600[/tex]
[tex]l=\sqrt{1600}[/tex]
[tex]l=40[/tex] feet
So, rug's length is equal to [tex]40[/tex] feet.
