A rope of length 40 metres is cut into two pieces and two squares are made on the floor with them. The sum of the areas enclosed is 58 square meter.
What are the lengths of the sides of the squares?

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field. OR Sum of the areas of two squares is 468m^(2) . If the difference of their perimeters is 24m, find the sides of two squares.

Find the length of the diagonal of a square of side 12 cm.

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

A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the flor that is not carpeted.

Shazli took a wire of length 44cm and bent it into she shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take pi=22/7)

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 ?