1 Answer

Cheese Daneish · Answer 1 · 2023-02-27T12:26:14+0000

Given pentagon with 6.2mm apothem.

To find area of pentagon we need apothem and parameter of pentagon.

So, to find parameter when only apothem is given we will multiply apothem with 7.726 as:

$\begin{gathered} \text{perimeter of pentagon = 7.26}*6.2 \\ \text{ =}45.012mm \end{gathered}$

Now,

$\begin{gathered} \text{Perimeter of pentagon =(side length) }*5 \\ \text{side length =}(45.012)/(5) \\ \text{ =}9.0024mm \end{gathered}$

So, area of pentagon

$\begin{gathered} =(1)/(2)* perimeter* apothem \\ =(1)/(2)*45.012*6.2 \\ =139.53mm^2 \end{gathered}$

Hence, length of side of pentagon 9.0024mm and area is mm square.

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