Answer:
98.8 cm²
Step-by-step explanation:
Hi there!
[tex]A=\frac{1}{2} Pa[/tex] where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)
1) Find the perimeter
[tex]P=5l[/tex] where l is the side length
Plug in the side length 7.6 cm
[tex]P=5(7.6)\\P=38[/tex]
Therefore, the perimeter of the pentagon is 38 cm.
2) Find the area
[tex]A=\frac{1}{2} Pa[/tex]
Plug in the perimeter (38) and the apothem (5.2)
[tex]A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8[/tex]
Therefore, the area of the pentagon is 98.8 cm².
I hope this helps!
