How to find the area of a regular hexagon with side length of 10 units?

Hexagons are six-sided polygons that have many interesting properties. These shapes are very commonly used in making buildings and architectural structures. The hexagons which have equal sides are called regular hexagons. Let's solve a problem related to them.

Answer: The area of a regular hexagon with side length of 10 is 259.8 sq. units.

Let's understand how we arrived at the solution.

Explanation:

We use the area of hexagon formula of the regular hexagon to solve the problem.

The area of a regular hexagon is given by 3√3a²/2. 

Hence, after substituting the side length in the equation given, we get

⇒ area = 3√3a²/2 = 3√3 × 10² / 2 = 259.8 sq. units

Hence, the area of a regular hexagon with a side length of 10 is 259.8 sq. units.