Question

A rectangular hallway rug has a width of 9 feet, and the diagonal measures 41 feet. What is the rug's length?

Answer 1

Answer:

Rug's length is equal to $40$ feet.

Step-by-step explanation:

Width of a rectangular hallway rug $(w)=9$ feet

Diagonal of a rectangular hallway rug$(d)=41$ feet

The relation between width $(w)$, length $(l)$ and diagonal $(d)$ is given as follows:

$l^2+w^2=d^2$

$l^2+9^2=41^2\\l^2+81=1681\\l^2=1600$

$l=\sqrt{1600}$

$l=40$ feet

So, rug's length is equal to $40$ feet.