If the side length of the pentagon is 19.27 centimeters. Then the area of the pentagon will be 337.225 square cm.
What is a polygon?
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The apothem of the pentagon is 7 cm.
Then the area of the pentagon will be
[tex]\rm Area = 5 \times \dfrac{1}{2} \times apothem \times side \ length[/tex]
The side length of the pentagon will be
[tex]\rm Side \ length = 2 \times 7 \tan 54^o \\\\Side \ length = 19.27\ cm[/tex]
Then the area will be
[tex]\rm Area = 5 \times \dfrac{1}{2} \times 7\times 19.27\\\\Area = 337.225[/tex]
More about the polygon link is given below.
https://brainly.com/question/17756657
#SPJ1
