Question : A field is in the shape of a rectangle of length 90 m and breadth 75 m. In one corner of the field, a pit, which is 18 m long 15 m broad, and 6 m deep, has been dug out. The earth taken out of it is evenly spread over the remaining part of the field. Find the rise in the level of the field.

Option 1: 27 cm

Option 2: 25 cm

Option 3: 28 cm

Option 4: 24 cm

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 perimeter of a rectangle is equal to the perimeter of a square. If the length and the breadth of the rectangle are 10 cm and 8 cm, respectively, then what will be the area of the square?

Option 1: 72 cm²

Option 2: 98 cm²

Option 3: 81 cm²

Option 4: 64 cm²

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