Question

If the perimeter of a regular pentagon is $60\mathrm{cm}$ , then its each side is

• A. $10\mathrm{cm}$
• B. $12\mathrm{cm}$
• C. $15\mathrm{cm}$
• D. $20\mathrm{cm}$

Answer 1

The correct option is B

$12\mathrm{cm}$

Given, perimeter of regular pentagon $=60\mathrm{cm}$

Let each side of a regular pentagon be $\mathrm{a}\mathrm{cm}$.

Then, perimeter of regular pentagon will be $=$$5\mathrm{a}$

$\Rightarrow$$5\mathrm{a}=60$

$\Rightarrow$ $\mathrm{a}=\frac{60}{5}$

$\Rightarrow \mathrm{a}=12\mathrm{cm}$

Hence , each side of regular pentagon is $12\mathrm{cm}$.

Therefore, the correct option is (B).