Math CentralQuandaries & Queries


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.


About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS