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14 votes
14 votes
If the Gym is 100 Feet long and 80 Feet wide how much distance did she save by cutting across the gym

User Ktf
by
2.7k points

1 Answer

19 votes
19 votes

Answer:

51.937515 feet.

Explanation:

If she goes across the perimeter, it will be 100 + 80 = 180 feet.

Use pythagoras' theorem to find out the distance of cutting across the gym.


100^(2) + 80^(2) = c^(2)

10000 + 6400 =
c^(2)

16400 =
c^(2)


√(16400) = c

128.062485 = c

180 - 128.062485 = 51.937515

She saves 51.937515 feet of distance by cutting across the gym.

User Mbadd
by
3.0k points