Question : The perimeter of a rectangle is 30 cm. If the length of the rectangle is twice its breadth, then what is the length of its diagonal?

Option 1: $5 \sqrt{5}\text{ cm}$

Option 2: $3 \sqrt{2} \text{ cm}$

Option 3: $4 \sqrt{5} \text{ cm}$

Option 4: $5 \sqrt{4} \text{ cm}$

Question : The perimeter of a rectangle is 40 cm. If its breadth is 8 cm, then what is the difference between the length and breadth of this rectangle?

Option 1: 3 cm

Option 2: 4 cm

Option 3: 5 cm

Option 4: 6 cm

Question : If the length of one side of a rectangle is twice that of the other side, and its perimeter is 54 cm, then what is the length of the longer side of this rectangle?

Option 1: 14 cm

Option 2: 9 cm

Option 3: 27 cm

Option 4: 18 cm

Question : The perimeter of a rectangle is 68 cm. If the area of the rectangle is 240 cm², then what is the length of each of its diagonals?

Option 1: 25 cm

Option 2: 27 cm

Option 3: 26 cm

Option 4: 28 cm

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