Question : The area of a square is 144 cm². What is the length of each of its diagonals?

Option 1: $14 \sqrt{2} \mathrm{~cm}$

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

Option 3: $12 \sqrt{2} \mathrm{~cm}$

Option 4: $12 \mathrm{~cm}$

Question : If $\triangle \mathrm{ABC}$ is similar to $\triangle \mathrm{DEF}$ such that $\mathrm{BC}=3 \mathrm{~cm}, \mathrm{EF}=4 \mathrm{~cm}$ and the area of $\triangle \mathrm{ABC}=54 \mathrm{~cm}^2$, then the area of $\triangle \mathrm{DEF}$ is:

Option 1: 78 cm²

Option 2: 96 cm²

Option 3: 66 cm²

Option 4: 44 cm²

Question : The larger diagonal of a rhombus is 150% of its smaller diagonal, and its area is 432 cm². Find the length (in cm) of the side of the rhombus.

Option 1: $8 \sqrt{13}$

Option 2: $4 \sqrt{13}$

Option 3: $6 \sqrt{13}$

Option 4: $2 \sqrt{13}$

Question : If the sum of the length, breadth and height of a rectangular parallelepiped is 24 cm and the length of its diagonal is 15 cm, then its total surface area is:

Option 1: 256 cm²

Option 2: 265 cm²

Option 3: 315 cm²

Option 4: 351 cm²

Question : The length of each diagonal of a rectangle is 50 cm. If its breadth is 14 cm, then what will be the area of the rectangle?

Option 1: 832 cm²

Option 2: 716 cm²

Option 3: 784 cm²

Option 4: 672 cm²