Find the area of a regular hexagon with apothem 3√ 3 mm. round to the nearest whole number.

Step-by-step explanation:

here we are going to use the formula which is

Area=

Where P is perimeter and A is apothem

Please refer to the image attached with this :

In a Hexagon , there are six equilateral triangle being formed by the three diagonals which meet at point O.

Consider one of them , 0PQ  with side a

As Apothem is the Altitude from point of intersection of diagonals to one of the side. Hence it divides the side in two equal parts . hence

Also OP= a

Using Pythagoras theorem ,

Subtracting both sides by

taking square roots on both sides we get

Now we have one side as 6 mm

Hence the perimeter is

mm

Apothem =

Now we put them in the main formula

Area =

Area=

Area=

step-by-step explanation: