Answer: A ≈ 127.31 units²
Step-by-step explanation:
We can use the given formula for the area of a regular hexagon, where a is equal to a given side (here, that is 7).
[tex]\displaystyle A=\frac{3\sqrt{3} }{2} a^2[/tex]
We will substitute known values and solve by computing and simplifying.
[tex]\displaystyle A=\frac{3\sqrt{3} }{2} a^2[/tex]
[tex]\displaystyle A=\frac{3\sqrt{3} }{2} (7)^2[/tex]
[tex]\displaystyle A=\frac{5.1961524}{2} 49[/tex]
[tex]\displaystyle A=(2.59807621)(49)[/tex]
[tex]\displaystyle A=127.3057[/tex]
[tex]\displaystyle A\approx 127.31[/tex]
