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?
Lv 4
? asked in Science & MathematicsMathematics · 5 years ago

Question on area of hexagons?

Can we find a hexagon's area by dividing the shape into two trapaziods and then adding their areas? Thanks!

3 Answers

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  • Como
    Lv 7
    5 years ago

    Better to use triangles.

  • RealPro
    Lv 7
    5 years ago

    Of course, why not?

    Let the hexagon's side length be a. The bases of one trapezoid would be a and 2a, and its height would be the height of an equilateral triangle of side a - or 0.5*a√3.

    Then the area of a trapezoid is 0.5 * (a + 2a) * 0.5*a√3 = 3/4 * a^2 * √3, and the whole thing is twice that.

    Best wishes!

  • ?
    Lv 7
    5 years ago

    Of course you can!

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