Area of a trapezium is `1350 m^2` and sum of the lengths of its parallel sides is three times the height. Find the height.

The area of a trapezium is 34m^2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

The area of a circle is 154 cm^2 .Find the length of one side of the greatest possible square that can be drawn within the circle.

What is the angle of elevation of sun when the length of the shadow of a pole is sqrt3 times the height of the pole?

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500m^2 and the perpendicular distance between the two parallel sides is 100m, find the length of the side along the river.

Find the length of the side of a square whose area is 441 m^2 .

The perimeter of a rectangle is 200 cm. If its length is three times of its breadth, find the length and breadth of the rectangle.

The height of a tower is 10m.What is the length of its shadow when sun's elevation is 45^@ ?

The third term of an A.P. is 7 and its seventh term is 2 more than three times the third term. Find the sum of first 20 terms.

Length of one side of the parallelogram is 6 cm. If the height of the parallelogram with respect to this side is 3 cm., then find its area.

The measures of the parallel sides of a trapezium are 6m and 4m.and the perpendicular distance between them is 7 m. Find the area of the trapezium.