The area of a square is 1764 cm² . The length of a rectangle is 4/7 of the side of the square and breadth of the rectangle is half its length. What is the perimeter of the rectangle?

If D and E are the mid-points of the side AB and AC respectively of the ∆ABC in the figure given here, the shaded region of the triangle is what percent of the whole triangular region?

Radius of base of a right circular cone and a sphere is each equal to r. if the sphere and cone have same volume, the what is the height of the cone?

If a regular polygon has 5 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees? 

A goat is tied with a 10.5 m-long rope to one corner of a plot which is in the shape of an equilateral triangle each side of which is 16 m long. Find the area that the goat can graze on.

The length, breadth and height of a room are in the ratio 3 : 2 : 1 if the volume of the room is 1296 metre3. Then find the breadth of the room?

The area of a rhombus is 216 cm² and the length of its one diagonal is 24 cm . The perimeter ( in cm ) of the rhombus is 

In circular measure, the value of the angle 11⁰15’ is :