A wire of length 28 m is cut into two pieces. One of the Pieces is be made into a square and the other in to a circle. What should be the length of the two pieces so that combined area of the square and the circle is minimum using differentiation?

A three and a half metres long rod is to be cut into pieces. One piece is to be bent into a square and the other into an equilateral triangle. The length of a side of both must be the same. How should it be cut?

The pictures shows a tangram of 7 pieces made by cutting a square of side 4 centimetres. Calculate the length of the sides of each piece.

A 50 centimetre long rod is to be cut into two pieces, one of which is to be bent to form a square and other is to be bent to form an equilateral triangle. The length of a side of the equilateral is twice the length of the side of a square. Find the length of the side of a square and equilateral triangle.

A rectangle is to be made with perimeter 100 centimetres and area 525 square centimetres. What should be the lengths of its sides?

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.

If a square is inscribed in a circle of diameter 4 cm, what will be the length of a side of the square?

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. area enclosed is 58 square meter. a) If the length of one piecce is taken as 'x', what is the. length of the other piece. b) What are the lengths of the sides of the squares? c) Write the. given fact about area as an algebraic equation. d) What is the length of each piece?