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| Math Central | Quandaries & Queries |
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Question from Amber, a student: Area of hexagon ABCDEF with the vertices (3,0) (7,0) (9,2) (7,4) (3,4) (1,0) |
Hi Amber,
I am going to label the points A = (3,0), B = (7,0), etc. The points A, B and F = (1,0) all lie on the X-axis so you actually have a pentagon.
Divide the figure into two parts with the diagonal BD. FBDE is a trapezoid and hence you can find its area. The area of the triangle that remains, BCD, can be found using Heron's formula.
Harley
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