Question

Find the area of the regular polygon. Round your answer to the nearest hundredt

7
square units

Answer 1

Answer: A ≈ 127.31 units²

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).

`\displaystyle A=(3√(3) )/(2) a^2`

We will substitute known values and solve by computing and simplifying.

`\displaystyle A=(3√(3) )/(2) a^2`

`\displaystyle A=(3√(3) )/(2) (7)^2`

`\displaystyle A=(5.1961524)/(2) 49`

`\displaystyle A=(2.59807621)(49)`

`\displaystyle A=127.3057`

`\displaystyle A\approx 127.31`