Question

A regulat pentagon has side lenghts of 5.8cm and apothem of 4cm. calculate its perimeter and area​

Answer 1

PENTA = 5.

a regular polygon has all equal sides, so if one side is 5.8, all are, so the perimeter for this pentagon with 5 sides is 5.8 + 5.8 + 5.8 + 5.8 + 5.8 = 29.

`\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} p=perimeter\\ a=apothem\\ \cline{1-1} p=29\\ a=4 \end{cases}\implies A=\cfrac{1}{2}(4)(29)\implies A=58`