document.write( "Question 1117862: This ornate box is in the shape of a regular hexagon. The length of each edge is nine and a half centimetres. The distance across the box from the middle of one edge to the middle of the opposite edge is 17cm. What is the area (to two decimal places) of the base of the box in square centimetres?\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #733015 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Make a drawing as is described. Do you find a special 30-60-90 triangle with a couple of side lengths you can identify?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "* According to the description, you should identify these quantities for one of the special 30-60-90 triangles:\r
\n" ); document.write( "\n" ); document.write( "leg \"8%261%2F2\"
\n" ); document.write( "short leg \"4%263%2F4\"
\n" ); document.write( "hypotenuse, same as an edge of the hexagon \"9%261%2F2\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If the description is reliable, then area for ONE of these special triangles is \"%281%2F2%29%284%263%2F4%29%288%261%2F2%29\"; but the hexagon contains twelve of these, so the hexagon area is:
\n" ); document.write( "\"6%284%263%2F4%29%288%261%2F2%29\".
\n" ); document.write( "Compute this how you want.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "* Does the description really work?
\n" ); document.write( "\"8.5%5E2%2B4.75%5E2+=+9.5%5E2\"
\n" ); document.write( "\"72.25%2B22.5625=90.25\"
\n" ); document.write( "\"94.8125=90.25\"\"FALSE\";
\n" ); document.write( "\"94.8125%3C%3E90.25\"
\n" ); document.write( "The given description does not work.
\n" ); document.write( "
\n" );