Sum of the area of two squares is `500 m^2`.If the difference of their perimeters is 40m, find the sides of the two squares.

The difference between the sides of two squares is 2. The difference between their area is 33cm^2 . Find the sides.

A square is drawn by joining the mid points of the sides of a square. A third square is drawn inside the second square in the same way and the process is continued infinitely. If the side of the square is 10 cms, find the sum of the areas of all the squares so formed.

When the sides of asquare are increased by 8cm each,its area becomes 1225sq. cm Frame an equation using the above data by taking the side of the smaller square as x cm. Find the sides of both the squares.

The sum of the perimeter of a circle and square is k , where k is a constant. Prove that the sum of their areas is least when the side of the square is double the radius of the circle.

Corners of a square are. on a circle. If the length of one side of square is 10 cm, find the perimeter of the circle.

A pavement of Width 2 metres is built around a square shaped garden. The area of the pavement alone is 116 square metres. Find one side of the garden.