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3 years ago

Mary walks from comer D to comer E to comer F on a city block that measures 264 feet wide and 900 feet long. Kate walks

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

3 0

Answer:

Difference between the distances traveled by Mary and Kate = 226 feet

Step-by-step explanation:

By applying Pythagoras theorem in right ΔDEF,

(DE)² + (EF)² = (DF)²

By substituting DE = 264 feet and EF = 900 feet

(264)² + (900)² = (DF)²

DF = √(69696+810000)

= √879696

= 937.92

Distance traveled by Kate diagonally = 938 feet

Distance traveled by Mary = DE + EF

= 264 + 900

= 1164 feet

Difference between the distances traveled by Mary and Kate = DF - (DE + EF)

= 1164 - 937.92

= 226.07

≈ 226 feet

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