Question : Find the area of triangle whose sides are 10 cm, 12 cm, and 18 cm.

Option 1: $22 \sqrt{2} \mathrm{~cm}^2$

Option 2: $30 \sqrt{2} \mathrm{~cm}^2$

Option 3: $28 \sqrt{2} \mathrm{~cm}^2$

Option 4: $40 \sqrt{2} \mathrm{~cm}^2$

Question : Find the area of a triangle whose length of two sides are 4 cm and 5 cm and the angle between them is 45°.

Option 1: $4 \sqrt{2} \mathrm{~cm}^2$

Option 2: $7 \sqrt{2} \mathrm{~cm}^2$

Option 3: $5 \sqrt{2} \mathrm{~cm}^2$

Option 4: $6 \sqrt{2} \mathrm{~cm}^2$

Question : The area of a trapezium-shaped field is 1785 square feet. The distance between the two parallel sides is 35 feet and one of the parallel sides is 42 feet long. What is the length of the other parallel side?

Option 1: 60 feet

Option 2: 35 feet

Option 3: 40 feet

Option 4: 65 feet

Question : In $\Delta \mathrm{ABC}$, a line parallel to side $\mathrm{BC}$ cuts the sides $\mathrm{AB}$ and $\mathrm{AC}$ at points $\mathrm{D}$ and $\mathrm{E}$ respectively and also point $\mathrm{D}$ divides $\mathrm{AB}$ in the ratio of $\mathrm{1 : 4}$. If the area of $\Delta \mathrm{ABC}$ is $200\;\mathrm{cm^2}$, then what is the area (in $\mathrm{cm^2}$) of quadrilateral $\mathrm{DECB}$?

Option 1: 192

Option 2: 50

Option 3: 120

Option 4: 96

Question : The two parallel sides of a trapezium are 17 cm and 15 cm, respectively. If the height of the trapezium is 6 cm, then its area (in m²) is:

Option 1: 9.6

Option 2: 960

Option 3: 0.96

Option 4: 0.0096