Question : The area of a square is 100 sq. cm. Find the length (in cm) of its diagonal.

Option 1: $10\sqrt{2}$

Option 2: $10$

Option 3: $20\sqrt{2}$

Option 4: $20$

Question : The area of the rhombus is 216 cm² and the length of its one diagonal is 24 cm. The perimeter (in cm) of the Rhombus is:

Option 1: 52

Option 2: 60

Option 3: 120

Option 4: 100

Question : The three sides of a triangle are 7 cm, 9 cm, and 8 cm. What is the area of the triangle?

Option 1: $12 \sqrt{3} \;\mathrm{Sq} . \mathrm{cm}$

Option 2: $10\sqrt{3} \;\mathrm{Sq} . \mathrm{cm}$

Option 3: $12 \sqrt{5} \;\mathrm{Sq} . \mathrm{cm}$

Option 4: $2 \sqrt{5} \;\mathrm{Sq} . \mathrm{cm}$

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 : The lengths of two parallel sides of a trapezium are 6 cm and 8 cm. If the height of the trapezium is 4 cm, then its area is:

Option 1: 28 cm

Option 2: 28 sq. cm

Option 3: 30 sq. cm

Option 4: 30 cm