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Looking at the attachment, we'll determine entire hexagon area with this formula:
area = apothem^2 *Number of sides * tan(180/n)
area = 17.32^2 * 6 * tan (30)
area = <span> <span> <span> 299.9824 </span> </span> </span> * 6 * 0.57735
area = <span><span><span> 1,039.16903184 </span> </span> </span>
Now we subtract the triangle area (16*20 = 320)
shaded area = <span> 1,039.16903184 -320 = </span> <span> <span> <span> 719.16903184 </span> </span> </span>
<span>answer is D
</span>
area = apothem^2 *Number of sides * tan(180/n)
area = 17.32^2 * 6 * tan (30)
area = <span> <span> <span> 299.9824 </span> </span> </span> * 6 * 0.57735
area = <span><span><span> 1,039.16903184 </span> </span> </span>
Now we subtract the triangle area (16*20 = 320)
shaded area = <span> 1,039.16903184 -320 = </span> <span> <span> <span> 719.16903184 </span> </span> </span>
<span>answer is D
</span>