Find the volume of a cone of radius 3.5cm and vertical height 12cm. [Take π = 22/7]

A rectangle has one side that is 6 cm shorter than the other. The area of the rectangle will increase by 68 cm\(^2\) if we add 2 cm to each side of the rectangle. Find the length of the shorter side.

Calculate the area of the composite figure above.

The area of a trapezium is 200 cm\(^2\). Its parallel sides are in the ratio 2 : 3 and the perpendicular distance between them is 16 cm. Find the length of each of the parallel sides.

The perimeter of an isosceles right-angled triangle is 2 meters. Find the length of its longer side.