Mary lives on a corner lot. the neighborhood children have been cutting diagonally across her lawn instead of walking around the yard if the diagonal distance across the lawn is 50ft and the longer part of the sidewalk is twice the shorter length, how many feet are the children saving by cutting the lawn

Question

Tobias Hoffman

Mathematics

30 June, 04:21

Mary lives on a corner lot. the neighborhood children have been cutting diagonally across her lawn instead of walking around the yard if the diagonal distance across the lawn is 50ft and the longer part of the sidewalk is twice the shorter length, how many feet are the children saving by cutting the lawn

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Answers (1)

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Leanna Hall · Answer 1

If we apply the Pythagorean theorem, which is A squared + B squared equals C Squared, and we know C equals 50 and A is twice as long as B, we know that A and B equal roughly 44.8 feet and 22.4 feet, respectively, which totals 67.2 feet. So cutting across the lawn is saving the children roughly 17.2 feet.