Question 1117862
Make a drawing as is described.  Do you find a special 30-60-90 triangle with a couple of side lengths you can identify?





* According to the description, you should identify these quantities for one of the special 30-60-90 triangles:

leg {{{8&1/2}}}
short leg {{{4&3/4}}}
hypotenuse, same as an edge of the hexagon {{{9&1/2}}}.


If the description is reliable, then area for ONE of these special triangles is  {{{(1/2)(4&3/4)(8&1/2)}}}; but the hexagon contains twelve of these, so the hexagon area is:
{{{6(4&3/4)(8&1/2)}}}.
Compute this how you want.



*  Does the description really work?
{{{8.5^2+4.75^2 = 9.5^2}}}
{{{72.25+22.5625=90.25}}}
{{{94.8125=90.25}}}{{{FALSE}}};
{{{94.8125<>90.25}}}
The given description does not work.