The process of splitting a quadrilateral into two triangles is called triangulation.

A parallelogram can be divided into two congruent triangles by drawing a diagonal across it.

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

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

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

Find the area of trapezium $BFHC$ in ${\mathrm{cm}}^2$.

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 $\mathrm{EG}=3.5 \mathrm{cm}.$

Find the Area of $∆CHD$ in ${\mathrm{cm}}^2.$

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

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

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 $k$.

Area of trapezium $ABCD$ is $450 {\mathrm{cm}}^2$, where $DC=30 \mathrm{cm}$ and distance $\left(h\right)$ between two parallel sides $AB$ and $DC,$ is $18 \mathrm{cm}$. Find the value of $AB$ in $\mathrm{cm}.$

The floor of a hall consists of $2000$ tiles, which are rhombus-shaped and each of its diagonals are $35 \mathrm{cm}$ and $20 \mathrm{cm}$ in length. Find the total cost of polishing the floor, if the cost is $₹10 \mathrm{per} {\mathrm{m}}^2$. Give the answer in$₹.$