Polygons

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.
\( 195.23\,\mathrm{cm}^2 \)
\( 97.62\,\mathrm{cm}^2 \)
\( 13.02\,\mathrm{cm}^2 \)
\( 24.40\,\mathrm{cm}^2 \)

1103055001

Level: 
B
The picture shows an intersection of two streets. Two water carts passed the intersection while sprinkling entire surface of the street. Each of the carts continued along the street it came. Determine how many square meters of the streets surface were sprinkled twice?
\( 96\,\mathrm{m}^2 \)
\( 48\,\mathrm{m}^2 \)
\( 124\,\mathrm{m}^2 \)
\( 140\,\mathrm{m}^2 \)

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.
\( 12\,\mathrm{cm}^2 \)
\( 24\,\mathrm{cm}^2 \)
\( 4\sqrt3\,\mathrm{cm}^2 \)
\( 6\,\mathrm{cm}^2 \)