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Let $IJKLMN$ be a hexagon with side lengths $IJ = LM = 3,$ $JK = MN = 3,$ and $KL = NI = 3$. Also, all the interior angles of the hexagon are equal. Find the area of hexagon $IJKLMN$.

 
 Oct 5, 2024
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Let $IJKLMN$ be a hexagon with side lengths $IJ = LM = 3,$ $JK = MN = 3,$ and $KL = NI = 3$. Also, all the interior angles of the hexagon are equal. Find the area of hexagon $IJKLMN$.   

 

                                                                                         3 • sqrt(3)    

Area of a regular hexagon in terms of its sides is     A  =  –––––––– • a2       where a is the length of a side

                                                                                                2    

 

                                              A  =  (3)2 • [ 3 • sqrt(3) ] / (2)         

 

                                              A  =  27 sqrt(3) / 2  =  23.38        

 Oct 5, 2024

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