a rectangular park is 4 miles long and 2 miles wide. how long is pedestrian route that runs diagonally across the park

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a rectangular park is 4 miles long and 2 miles wide. how long is pedestrian route that runs diagonally across the park

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    2021-09-10T20:52:30+00:00

    you can use the Pythagorean theorem to solve this
    {x}^{2}  =  {4}^{2}  +  {2}^{2}
    Now solve for x
     {x}^{2}  = 16 + 4 \\  {x}^{2}  = 20 \\ x =  \sqrt{20}
    Now you can simplify this to
    x =  \sqrt{5 \times 4}  \\ x =  \sqrt{5}  \sqrt{4}  \\ x =  \sqrt{5 }  \times 2 \\ x = 2 \sqrt{5}
    And that’s your answer

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