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

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

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=√(1600)`

`l=40` feet

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