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March 25, 2017

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Find the perimeter of a regular hexagon that has an area of 54 radical 3 units squared.

  • Geometry. - ,

    In wikipedia type hexagon

    Area:

    A=t^2*[3*sqroot(3)]/2

    54*sqroot(3)=t^2*[3*sqroot(3)]/2

    Divide booth sides with sqroot(3)

    54=3*t^2/2

    54*2=3t^2
    108=3t^2 Divide booth sides with 3

    108/3=t^2

    t^2=36

    t=6

    Perimeter:

    P=6*t=6*6=36

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