françoise and maurice cut diagonally across a 30-foot-by-120-foot vacant rectangular lot on their way to school. how much dis

Question

oksian1 [2.3K]

3 years ago

8

françoise and maurice cut diagonally across a 30-foot-by-120-foot vacant rectangular lot on their way to school. how much dis

tance do they save by not staying on the sidewalk?

Mathematics

1 answer:

adelina 88 [10] · Answer 1 · 2022-06-28T18:10:19+03:00

adelina 88 [10]3 years ago

8 0

The path is the hypotenuse of a right triangle with legs 30 and 120.

30² + 120² = c²

900 + 14400 = c²

15300 = c²

c=√15300 ≈123.7'

instead of walking 30+120=150 feet they save 26.3 feet by taking the shortcut

​françoise and maurice cut diagonally across a 30​-foot-by-120​-foot vacant rectangular lot on their way to school. how much dis

françoise and maurice cut diagonally across a 30-foot-by-120-foot vacant rectangular lot on their way to school. how much dis