In the given figure,$OP = PQ = 14 \, cm$ and semicircles are drawn on $OP$,$PQ$,and $OQ$ as diameters. Then,the perimeter of the shaded area is . . . . . . $cm$.

$ABCD$ is a parallelogram as shown in the figure. Find its area in $cm^2$.

The tangents drawn at points $A$ and $B$ of a circle with centre $O$ meet at $P$. If $\angle AOB = 120^{\circ}$ and $AP = 6 \text{ cm}$,then what is the area of triangle $APB$ (in $\text{cm}^{2}$)?

In the given figure,there is a large semicircle with diameter $AB = 56 \ cm$. Inside this,there are four smaller identical semicircles with diameters $AE, EF, FG,$ and $GB$ along the diameter $AB$. $A$ circle is inscribed such that it is tangent to the large semicircle and the two middle smaller semicircles. What is the area (in $cm^2$) of the shaded region?

The area of a rhombus is $150 \, cm^2$. The length of one of its diagonals is $10 \, cm$. The length of the other diagonal is ....... $cm$.

The area of a rectangular field is $27000 \, m^2$. The ratio of its length and breadth is $6:5$. The length and breadth of the field are respectively: