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creativ13 [48]
3 years ago
8

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

Mathematics
1 answer:
slega [8]3 years ago
5 0

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.

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