andreasolis6899 andreasolis6899
  • 05-05-2021
  • Mathematics
contestada

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

Respuesta :

berno berno
  • 05-05-2021

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.

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