Question

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

1. a square?
2. an equilateral triangle?
3. a regular hexagon?

Answer 1

$\text{Length of string} = \text{Perimeter of each figure}$

(a) Perimeter of square = $30$ $cm$
$\Rightarrow 4 \times side = 30$ $cm$
$\Rightarrow Side = \frac{30}{ 4} =$ $7.5$ $cm$

Thus, the length of each side of square is $7.5$ $cm$.

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(b) Perimeter of equilateral triangle = $30$ $cm$
$\Rightarrow 3 \times side = 30$ $cm$
$\Rightarrow Side = \frac{30}{ 3} = 10 \;cm$

Thus, the length of each side of equilateral triangle is $10$ cm.

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(c) Perimeter of hexagon = $30$ $cm$
$\Rightarrow 6 \times side = 30\; cm$
$\Rightarrow Side = \frac{30}{ 6} = 5 \;cm$

Thus, the side of each side of hexagon is $5$ $cm$