Question : A circular wire of length 168 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 5 : 7. What is the length (in cm) of the diagonal of the rectangle?

Option 1: $\sqrt{4127}$

Option 2: $\sqrt{3137}$

Option 3: $\sqrt{1813}$

Option 4: $\sqrt{3626}$

Question : Find the area of a triangle whose length of two sides are 4 cm and 5 cm and the angle between them is 45°.

Option 1: $4 \sqrt{2} \mathrm{~cm}^2$

Option 2: $7 \sqrt{2} \mathrm{~cm}^2$

Option 3: $5 \sqrt{2} \mathrm{~cm}^2$

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

Question : A chord of length 7 cm subtends an angle of $60^{\circ}$ at the centre of a circle. What is the radius (in cm) of the circle?

Option 1: $7\sqrt{2}$ cm

Option 2: $7\sqrt{3}$ cm

Option 3: $7$ cm

Option 4: $14$ cm

Question : Find the area of triangle whose sides are 10 cm, 12 cm, and 18 cm.

Option 1: $22 \sqrt{2} \mathrm{~cm}^2$

Option 2: $30 \sqrt{2} \mathrm{~cm}^2$

Option 3: $28 \sqrt{2} \mathrm{~cm}^2$

Option 4: $40 \sqrt{2} \mathrm{~cm}^2$

Question : The area of a square and rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 10 cm and the breadth is less than 5 cm. The perimeter (in cm) of the rectangle is:

Option 1: 50

Option 2: 40

Option 3: 80

Option 4: 100

Question : The sides of a rectangle are in the ratio of 3 : 8 and its area is 1944 cm². What is its perimeter?

Option 1: 189 cm

Option 2: 208 cm

Option 3: 198 cm

Option 4: 308 cm