Question : A rectangular lawn whose length is twice its breadth is extended by having four semi-circular portions on its sides. What is the total area (in ${m}^2$ ) of the lawn if the smaller side of the rectangle is 12 m? (Take $\pi=3.14$ )

Option 1: 853.2

Option 2: 308.64

Option 3: 444

Option 4: 548.32

Question : A rectangular lawn whose length is twice its breadth is extended by having four semi-circular portions on its sides. What is the total cost (in INR) of levelling the entire lawn at the rate of INR 100 per square metre, if the smaller side of the rectangular lawn is 12 m? (Take $\pi=3.14$)

Option 1: 85,320

Option 2: 78,650

Option 3: 86,540

Option 4: 97,625

Question : The area of a rectangular field is 480 m². If the length is 20% more than the breadth, then the length of the rectangular field is:

Option 1: 30 m

Option 2: 20 m

Option 3: 24 m

Option 4: 27 m

Question : The perimeter of a square is half the perimeter of a rectangle. The perimeter of the square is 40 m. If its breadth is two-thirds of its length, then what is the area (in m²) of the rectangle?

Option 1: 384

Option 2: 196

Option 3: 321

Option 4: 400

Question : The perimeter of a square is the same as the perimeter of a rectangle. The perimeter of the square is 40 m. If its breadth is two-thirds of its length, then the area (in m²) of the rectangle is:

Option 1: 121

Option 2: 96

Option 3: 100

Option 4: 84

Question : The diameter of a hemisphere is equal to the diagonal of a rectangle of length 4 cm and breadth 3 cm. Find the total surface area (in cm²) of the hemisphere.

Option 1: $25 \pi$

Option 2: $\frac{75 \pi}{4}$

Option 3: $\frac{50 \pi}{4}$

Option 4: $\frac{25 \pi}{4}$