One side of a square is inclined to the x-axis at an angle `alpha` and one of its extremities is at the origin. If the side of the square is 4, find the equations of the diagonals of the square.

The center of a square is at the origin and its one vertex is A(2,1) . Find the coordinates of the other vertices of the square.

If the side of the square is halved. What can you say about its area?

Find the side of the square whose perimeter is 20m.

The two sides of the square are given by 4y-2 and y+1. Find the perimeter of the square.

A square is drawn by joining mid pint of the sides of a square. Another square is drawn inside the second square in the same way and the process is continued in definitely. If the side of the first square is 16 cm, then what is the sum of the areas of all the squares ?