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Two 7-sided polygons are similar. A side of the larger polygon is 6 times as long as the corresponding side of the smaller polygon. What is the ratio of the area of the larger polygon to the area of the smaller polygon?

  • math -

    7-side polygon is heptagon or septagon.
    Go to wikipedia and type
    "heptagon"
    On en.wikipedia you have all about heptagon.

    Area is:

    A=3.633912444*a^2
    a is side lenght

    Area of smaller heptagon is:

    A1=3.633912444*(a1)^2
    a1 lenght side of smaller polygon

    Larger side lenght is:
    a2=6*a1
    a2 lenght side of larger polygon

    A2=3.633912444*(a2)^2
    =3.633912444*(6*a1)^2
    =3.633912444*36*(a1)^2

    (A2/A1)=36

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