Find the side of the square whose area and perimeter are numercally equal.

A square is drawn on the altitude of an equilateral triangle of side 4 cm. a) What is the altitude of the triangle? b) What is the area and perimeter of the square?

Find the sides of a rectangle whose perimeter is 100 metres and area 600sq. metres.

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.

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 square and equiIateral triangle of sides twice as long we cut and the pieces are rearranged to form a trapezium, as shown below. If a side of the square is 2 centimetres, what are the perimeter and area of the trapezium? .

When each side of a square was reduced by 2 mețres, the area became. 49 square metres. What was the length of a side of the original square?

Find the area of the parallelogram whose adjacent sides are determined by the vectors 'veca=hati-hatj+3 hatk' and 'vecb=2 hati-7 hatj+hatk'

If the perimeter of a circle and perimeter of a square are equal, then find the ratio of their arẽas.

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.