Respuesta :

Answer:

51.937515 feet.

Step-by-step 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.

[tex]100^{2} + 80^{2} = c^{2}[/tex]

10000 + 6400 = [tex]c^{2}[/tex]

16400 = [tex]c^{2}[/tex]

[tex]\sqrt{16400} = c[/tex]

128.062485 = c

180 - 128.062485 = 51.937515

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

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