Area of a Polygon

There is an octagonal shaped park as shown in the given figure. For finding its area, Priya and Divya divided it into two different ways.

Find the area of this park using both ways. Can you suggest some other way of finding its area?

A general quadrilateral can be split into two triangles by drawing one of its diagonal.

Top surface of a raised platform is in the shape of a regular hexagon as shown in the given figure. If the area of the hexagonal surface is $\mathrm{k} {\mathrm{cm}}^2$, then find $\mathrm{k}$ up to two decimal places. [Use, $\sqrt{3}=1.732$]

A polygon $ABCDE$ is divided into five parts as given below, where $\mathrm{AD}=10 \mathrm{cm}, \mathrm{AH}=8 \mathrm{cm}, \mathrm{AG}=5 \underset{¯}{\mathrm{cm}}, \mathrm{AF}=2 \mathrm{cm}, \mathrm{CH}=2 \mathrm{cm}, \mathrm{BF}=3 \mathrm{cm}$ and $\mathrm{EG}=3.5 \mathrm{cm}.$

If the area of polygon $ABCDE$ is $k {\mathrm{cm}}^2$, then find the value of $k$.