A piece of string is 36 cm long. What will be the length of each side, if it is used to form: a. A square, b. A triangle with all sides of equal length, and c. A hexagon (a six sided closed figure) with sides of equal length?

a. A square

To form a square, its perimeter equals 4 x side length. The given string length of 36 cm acts as the perimeter. Using the formula: 36 = 4 x side, divide 36 by 4 to calculate the side length: side = 36 ÷ 4 = 9 cm. This ensures that each side of the square measures 9 cm, making full use of the string without any excess.

b. A triangle with all sides of equal length

In an equilateral triangle, all sides are equal. The perimeter of the triangle is calculated as 3 x side. Given a string length of 36 cm as the perimeter: 36 = 3 x side. Divide 36 by 3 to find side = 36 ÷ 3 = 12 cm. Thus, each side of the triangle will measure 12 cm, perfectly using the entire string length for the equilateral triangle.

c. A hexagon (six-sided figure) with sides of equal length

For a regular hexagon, all six sides are of equal length. Its perimeter is calculated as 6 x side. Using the given string length of 36 cm as the perimeter: 36 = 6 x side. Solving for side gives side = 36 ÷ 6 = 6 cm. This means each side of the hexagon measures 6 cm, ensuring the string is fully utilized to form the six-sided figure.

For more NCERT Solutions for Class 6 Math Chapter 6 Perimeter and Area Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-6/