Question : If the area of a square is 529 cm², then what is the length of its diagonal?

Option 1: $23\mathrm{~cm}$

Option 2: $26 \sqrt{3} \mathrm{~cm}$

Option 3: $23 \sqrt{2 } \mathrm{~cm}$

Option 4: $46 \mathrm{~cm}$

Question : The length of each side of a rhombus is 10 cm. If the length of one of its diagonals is 16 cm, then what is the area of the rhombus?

Option 1: 108 cm²

Option 2: 112 cm²

Option 3: 128 cm²

Option 4: 96 cm²

Question : The length of each side of a square is 16 cm. What is the area of the square?

Option 1: 112 cm²

Option 2: 176 cm²

Option 3: 128 cm²

Option 4: 256 cm²

Question : The longest side of the obtuse triangle is 7 cm and the other two sides of the triangle are 4 cm and 5 cm. Find the area of the triangle.

Option 1: $1 \sqrt{3} \mathrm{~cm}^2$

Option 2: $6 \sqrt{3} \mathrm{~cm}^2$

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

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

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