Polygons

1103055009

Level: 
B
The regular hexagon \( ABCDEF \) is in the picture. The area of the triangle \( ABC \) is \( 10\,\mathrm{cm}^2 \). Calculate the length of the side of the hexagon. Round to one decimal place.
\( 4.8\,\mathrm{cm} \)
\( 23.1\,\mathrm{cm} \)
\( 6.3\,\mathrm{cm} \)
\( 7.2\,\mathrm{cm} \)

1103055010

Level: 
B
In the regular hexagon \( ABCDEF \), \( G \) and \( H \) are the midpoints of \( AB \) and \( CD \). What part of the area of the hexagon is covered by the area of the quadrilateral \( BCHG \)? The area of the quadrilateral corresponds to the shaded region in the figure.
\( \frac5{24} \)
\( \frac15 \)
\( \frac1{28} \)
\( \frac5{36} \)