A piece of string is 30 cm long. What will be the length of each side if the string is used to form: (a) a square? (b) an equilateral triangle? (c) a regular hexagon?

A piece of string is 30 cm long. What will be the length of each side if the string is used to form:

(a) a square?

(b) an equilateral triangle?

(c) a regular hexagon?

To find the length of each side for different shapes formed using a 30 cm long string:

(a) For a square: A square has 4 equal sides, so you divide the total length of the string by 4.

Length of each side = Total length of the string / Number of sides Length of each side = 30 cm / 4 Length of each side = 7.5 cm

So, each side of the square will be 7.5 cm.

(b) For an equilateral triangle: An equilateral triangle has 3 equal sides, so you divide the total length of the string by 3.

Length of each side = Total length of the string / Number of sides Length of each side = 30 cm / 3 Length of each side = 10 cm

So, each side of the equilateral triangle will be 10 cm.

(c) For a regular hexagon: A regular hexagon has 6 equal sides, so you divide the total length of the string by 6.

Length of each side = Total length of the string / Number of sides Length of each side = 30 cm / 6 Length of each side = 5 cm

So, each side of the regular hexagon will be 5 cm.