John is walking home with his younger brother, Don. Their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet. John decides to walk along two sides of the lot, While don takes the diagonal path home. About how much farther does john walk than don?

Question

Mathematics

Brenton Farrell

23 May, 03:54

John is walking home with his younger brother, Don. Their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet. John decides to walk along two sides of the lot, While don takes the diagonal path home. About how much farther does john walk than don?

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Answers (1)

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Geovanni Roach · Answer 1

The distance via the diagonal is calculated by the Pythagoras theorem:-

Diagonal = sqrt (500^2 + 800^2) = 943.4 feet.

Distance along 2 sides of rectangle = 500 + 800 = 1300 feet

So John walks 1300 - 943.4 = 356.6 feet more than Don.