Given below is the map of a society park

The park has four grass patches of equal area.

The patch $2$ is divided diagonally into two triangles of equal areas. Tulips are planted in one triangular area. What is the area in which the tulips are planted?

The three sides of a triangle are $15 cm, 36 cm, and 39 cm$ long. A small triangle is formed by joining the mid points of the three sides of this triangle. The area of small triangle will be_____ $c{m}^2$  

Circle with centre $O$ touches the sides of the triangle at $P,Q$ and $R$, $AB=AC,AQ=4$ centimetres and $CQ=6$ centimetres. Find the perimeter and the area of the triangle.

In $△ABC, AD$ is the median and $G$ is a point on $AD$ such that $AG:GD=2:1$. Then area $(△BDG):$area $(△ABC)$ is equal to:

Circle with centre $O$ touches the sides of the triangle at $P,Q$ and $R$, $AB=AC,AQ=4$ centimetres and $CQ=6$ centimetres. What is the radius of the circle?

$ABCD$ is a parallelogram where $AB=8 \mathrm{cm}, AD=4 \mathrm{cm}$ and $\angle B=120°$. What is perpendicular distance from $D$ to $AB$?

Find the area of the composite shape in the given figure.