Question : The length of each side of a rhombus is equal to the length of the side of a square whose diagonal is $40\sqrt2$ cm. If the length of the diagonals of the rhombus is in the ratio $3:4$, then its area ( in cm²) is:

Option 1: 1550

Option 2: 1600

Option 3: 1535

Option 4: 1536

Question : The area of a circle whose radius is the diagonal of a square whose area is $4\;\mathrm{cm^2}$ is:

Option 1: $16\pi\;\mathrm{cm^2}$

Option 2: $4\pi\;\mathrm{cm^2}$

Option 3: $6\pi\;\mathrm{cm^2}$

Option 4: $8\pi\;\mathrm{cm^2}$

Question : The perimeter of an isosceles triangle is 91 cm. If one of the equal sides measures 28 cm, then what is the value of the other non-equal side?

Option 1: 56 cm

Option 2: 14 cm

Option 3: 42 cm

Option 4: 35 cm

Question : What is the area of a rhombus whose diagonals are 8 cm and 13 cm?

Option 1: 52 cm²

Option 2: 96 cm²

Option 3: 44 cm²

Option 4: 84 cm²

Question : PQRS is a square with a side of 10 cm. A, B, C, and D are mid-points of PQ, QR, RS, and SP, respectively. Then, the perimeter of the square ABCD so formed is:

Option 1: $10\sqrt{2}\ \text{cm}$

Option 2: $20\sqrt{2}\ \text{cm}$

Option 3: $25\sqrt{2}\ \text{cm}$

Option 4: $15\sqrt{2}\ \text{cm}$