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19 April, 11:18

A park is in the shape of a rectangle 8 miles long and 6 miles wide. How much shorter is your walk if you walk diagonally across the park than along two sides of it?

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  1. 19 April, 11:34
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    8 + 6 = 14

    Find the hypotenuse of the triangle.

    a^2 + b^2 = c^2

    Where 'a' and 'b' are the two legs and 'c' is the hypotenuse.

    Plug in what we know:

    6^2 + 8^2 = c^2

    Simplify the exponents:

    36 + 64 = c^2

    Add:

    100 = c^2

    Find the square root of both sides:

    c = 10

    14 - 10 = 4

    So walking diagonally across will be 4 miles shorter than walking around the edges.
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