B

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.
\( 4.8\,\mathrm{cm} \)
\( 23.1\,\mathrm{cm} \)
\( 6.3\,\mathrm{cm} \)
\( 7.2\,\mathrm{cm} \)

1003055007

Level: 
B
In a regular decagon (\( 10 \) sided polygon) the length of the side is \( 4\,\mathrm{cm} \). Which of the given numbers most accurately expresses fits its area most accurately?
\( 123\,\mathrm{cm}^2 \)
\( 12\,\mathrm{cm}^2 \)
\( 55\,\mathrm{cm}^2 \)
\( 185\,\mathrm{cm}^2 \)

1003055006

Level: 
B
A regular pentadecagon (\( 15 \) sided polygon) is inscribed in a circle of radius \( 8\,\mathrm{cm} \). Calculate its area. Round the result to two decimal places.
\( 195.23\,\mathrm{cm}^2 \)
\( 97.62\,\mathrm{cm}^2 \)
\( 13.02\,\mathrm{cm}^2 \)
\( 24.40\,\mathrm{cm}^2 \)

1103054913

Level: 
B
The area of the parallelogram \( ABCD \) is \( 12\,\mathrm{cm}^2 \), the lengths of its sides are \( 8\,\mathrm{cm} \) and \( 3\,\mathrm{cm} \), as shown in the diagram. Calculate the length of the shorter diagonal. Round the result to one decimal place.
\( 5.6\,\mathrm{cm} \)
\( 5.1\,\mathrm{cm} \)
\( 4.8\,\mathrm{cm} \)
\( 6.2\,\mathrm{cm} \)

1103054912

Level: 
B
Let \( ABCD \) be a parallelogram with \( |AB| = 8\,\mathrm{cm} \), \( |BC| = 3\,\mathrm{cm} \) and the measure of \( \measuredangle DAB \) is \( 30^{\circ} \). Give the area of the parallelogram.
\( 12\,\mathrm{cm}^2 \)
\( 24\,\mathrm{cm}^2 \)
\( 4\sqrt3\,\mathrm{cm}^2 \)
\( 6\,\mathrm{cm}^2 \)