Question : The base of a triangle is equal to the perimeter of a square whose diagonal is $9 \sqrt{2}$ cm and its height is equal to the side of a square whose area is 144 cm². The area of the triangle(in cm²) is:

Option 1: 216

Option 2: 72

Option 3: 144

Option 4: 288

Question : What is the area of a triangle having a perimeter of 32 cm, one side of 11 cm, and the difference between the other two sides is 5 cm?

Option 1: $8\sqrt{30}$ cm²

Option 2: $5\sqrt{35}$ cm²

Option 3: $6\sqrt{30}$ cm²

Option 4: $8\sqrt{2}$ cm²

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 base of a solid right prism is a triangle whose sides are 9 cm, 12 cm, and 15 cm. The height of the prism is 5 cm. Then, the total surface area of the prism is:

Option 1: 180 cm²

Option 2: 234 cm²

Option 3: 288 cm²

Option 4: 270 cm²

Question : The total surface area of a right pyramid on a square base of side 10 cm with height 12 cm is:

Option 1: 260 cm²

Option 2: 360 cm²

Option 3: 330 cm²

Option 4: 300 cm²