Answer:
[tex]Area = 3.4\ cm^{2}[/tex]
Step-by-step explanation:
Assume a pentagon has equal length where a be the side of the pentagon and r be the apothem of the pentagon.
Given:
Sides of pentagon [tex]a=2\ cm[/tex]
apothem of pentagon [tex]r=3.4\ cm[/tex]
The area of the pentagon formula is given below.
[tex]A = \frac{1}{2}\times bh[/tex]
Where b = length of the base or side
And h = height of apothem
Now, we substitute side and apothem length in above formula.
[tex]A = \frac{1}{2}\times 2\times 3.4[/tex]
[tex]A = 3.4\ cm^{2}[/tex]
Therefore, the area of the pentagon is [tex]3.4\ cm^{2}[/tex]
