Question : The ratio of the length to width of a certain rectangle is 3 : 2 and the area is 150 cm². The perimeter of the rectangle (in cm) is:

Option 1: 20

Option 2: 30

Option 3: 50

Option 4: 40

Question : If the length of a certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. What is the perimeter of the original rectangle?

Option 1: 15 cm

Option 2: 24 cm

Option 3: 20 cm

Option 4: 10 cm

Question : A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is: (take $\pi=\frac{22}{7}$)

Option 1: 125 cm²

Option 2: 230 cm²

Option 3: 550 cm²

Option 4: 616 cm²

Question : The centroid of a $\triangle ABC$ is G. The area of $\triangle ABC$ is 60 cm². The area of $\triangle GBC$ is:

Option 1: 10 cm²

Option 2: 30 cm²

Option 3: 40 cm²

Option 4: 20 cm²

Question : The sum of the length, breadth, and height of a cuboid is 20 cm. If the length of the diagonal is 12 cm, then find the total surface area of the cuboid.

Option 1: 364 cm²

Option 2: 256 cm²

Option 3: 356 cm²

Option 4: 264 cm²

Question : The area of the parallelogram whose length is 30 cm, width is 20 cm and one diagonal is 40 cm is:

Option 1: $200\sqrt{15}\text{ cm}^{2}$

Option 2: $100\sqrt{15}\text{ cm}^{2}$

Option 3: $300\sqrt{15}\text{ cm}^{2}$

Option 4: $150\sqrt{15}\text{ cm}^{2}$