Find the area of a regular hexagon with a said length of 10 centimeters and a apothem of 5 spuare root 3
![Find the area of a regular hexagon with a said length of 10 centimeters and a apothem of 5 spuare root 3 class=](https://us-static.z-dn.net/files/db7/67ebaff97ec6a7345a053d661b6a6901.png)
Answer:
C
Step-by-step explanation:
the area (A) of the hexagon can be calculated as
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
p = 6 × 10 = 60 and a = 5[tex]\sqrt{3}[/tex] , then
A = [tex]\frac{1}{2}[/tex] × 60 × 5[tex]\sqrt{3}[/tex]
= 30 × 5[tex]\sqrt{3}[/tex]
= 150[tex]\sqrt{3}[/tex]
≈ 259.8 cm² ( to the nearest tenth )