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 right triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm²) of the triangle?

Option 1: 60

Option 2: 96

Option 3: 90

Option 4: 120

Question : The difference between the semi-perimeter and the sides of ΔPQR are 18 cm, 17 cm, and 25 cm, respectively. Find the area of the triangle.

Option 1: $330\sqrt{510}$ cm²

Option 2: $230\sqrt{510}$ cm²

Option 3: $30\sqrt{510}$ cm²

Option 4: $130\sqrt{510}$ cm²

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

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