Question

Each side of a regular polygon is $2.5cm$ in length. The perimeter of the polygon is$12.5cm$. How many sides does the polygon have?

Answer 1

Find the sides of the polygon:

Given

The length of a side of a regular polygon $=2.5cm$

The perimeter of a polygon $=12.5cm$

We know that in a regular polygon all sides are equal

therefore,

The perimeter of a polygon $=$Number of sides $\times$Length of each side

$\Rightarrow$$12.5$$=$Number of sides $\times 2.5$

$\Rightarrow$Number of sides$=$$12.5÷2.5$

$\Rightarrow$Number of sides$=$$\frac{125}{10}÷\frac{25}{10}$

$\Rightarrow$Number of sides$=\frac{125}{10}\times \frac{10}{25}$

$\Rightarrow$Number of sides$=\frac{125}{25}$

$\Rightarrow$Number of sides$=5$

Hence, the polygon has $5$ sides.