question_answer

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?

Answer:

(a) Perimeter of a square

= length of the string = 30 cm

A square has 4 equal sides, so we can divide the perimeter by 4 to get the length of one side

One side of the square \[=30\text{ }cm\div 4\]

\[=7.5\text{ }cm\]

(b) Perimeter of an equilateral triangle

= length of the string = 30 cm

An equilateral triangle has 3 equal sides so we can divide the perimeter by 3 to get the length of one side.

\[\therefore \] One side of an equilateral \[=30\text{ }cm\div 3\]

\[=10\text{ }cm\]

(c) Perimeter of a regular hexagon

= length of the string = 30 cm

A regular hexagon has 6 equal sides, so we can divide the perimeter by 6 to get the length of one side.

One side of a regular hexagon

\[=30\text{ }cm\div 6=5\text{ }cm\]