Question : $\triangle$ABC is similar to $\triangle$PQR. The length of AB is 16 cm and the length of the corresponding side PQ is 9 cm. If the area of $\triangle$ABC is 1024 sq. cm, what is the area of $\triangle$PQR?

Option 1: 768 sq. cm

Option 2: 32 sq. cm

Option 3: 324 sq. cm

Option 4: 128 sq. cm

Question : Two triangles MNO and XYZ are given similar with the ratio of their side as 9 : 4. If the area of the larger triangle is 243 sq. cm, then the area of the smaller triangle will be:

Option 1: 162 sq. cm

Option 2: 28 sq. cm

Option 3: 48 sq. cm

Option 4: 16 sq. cm

Question : One side of the triangle is 15 cm and the corresponding height is 6 cm, then area of the triangle is:

Option 1: 46 sq. cm

Option 2: 45 sq. cm

Option 3: 47 sq. cm

Option 4: 48 sq. cm

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