Verified Answer :

Answer:

The area of hexagon is 41.57  inch².

Step-by-step explanation:

The formula for area of regular hexagon is

\(A=\frac{3\sqrt{3}}{4}a^2\)

Where, a is the side length of regular hexagon.

It is given that the length of side is 4 inch.

The area of regular hexagon is

\(A=\frac{3\sqrt{3}}{4}\times(4)^2\)

\(A=\frac{3\sqrt{3}}{2}\times 16\)

\(A=3\sqrt{3}\times 8\)

\(A=24\sqrt{3}\)

\(A=41.57\)

Therefore the area of hexagon is 41.57  inch².

Answer:

\(A=41.58(inches)^2\)

Step-by-step explanation:

Given: The side of the regular hexagon measures 4 inches.

To find: The area of the regular hexagon.

Solution: The area of the regular hexagon can be found as:

\(A=\frac{3\sqrt{3}}{2}(side)^2\)

\(A=\frac{3\sqrt{3}}{2}(4)^2\)

\(A=\frac{3\sqrt{3}}{2}(16)\)

\(A=24\sqrt{3}\)

\(A=41.58(inches)^2\)

Thus, the area of the regular hexagon will be equal to \(41.58 (inches)^2\).