Sum of the areas of two squares is `468m^2`.If the difference of the their perimeters is 24 m,find the side length of the two squares.

The sum of the area of two squares is 640 m^2 ,If the difference in their perimeters be 64m,find the sides of the two squares.

Prove that the area of an equilateral triangle with sides equal to the sides of a square is half the area of the equilateral triangle with sides equal to țhe length of the diagonals of the square.

If the area of a square and a circle are same then the ratio of their perimeters in terms of pi is__

Find the area of a square of length 7 cm.

The area of a circular garden is 1386m^2 .Find the perimeter of the garden.

Work Problem on Geometry The side of square exceeds the side of another square by 4 cm and the sum of the areas of the two square is 400 sq.cm. Find the dimension of the square.

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.

The ratio of A.M. and G.M. of two positive numbers is 5:4. If the difference between them is 12, find the numbers

The square of the length of the hypotenuse of an isosceles right triangle is 32cm^2 .Find the length of the other two sides.

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.