In the isosceles trapezium \( ABCD \), \( |AD|=|BC| \), \( |AB|=|AC| \) and the measure of the angle \( BAC \) is \( 40^{\circ} \). What is the measure of the angle \( ADC \)?
\( ABCD \) is a trapezium with bases \( |AB| = 8\,\mathrm{cm} \) and \( |CD| = 4\,\mathrm{cm} \). Calculate the area of the triangle \( ABS \) if the area of the triangle \( CDS \) is \( 12\,\mathrm{cm}^2 \), where \( S \) is the intersection point of the diagonals \( BD \) and \( AC \).
In the convex quadrilateral \( ABCD \), \( |AB| = |DA| = 20\,\mathrm{cm} \), \( |BC| = |CD| = 15\,\mathrm{cm} \). The diagonal \( AC \) is \( 25\,\mathrm{cm} \) long. Give the measure of the angle \( ABC \).
The lengths of sides of the parallelogram \( ABCD \) are \( 8\,\mathrm{cm} \) and \( 6\,\mathrm{cm} \). The size of one of its interior angles is \( 60^{\circ} \). Calculate the area of the parallelogram.
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.
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.
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?