Question

ABCDEF is a regular hexagon with centre O. If the area of triangle OAB is 9 ${cm^2}$, find the area of the hexagon.

Answer 1

Hint: Look at the diagram carefully. We know that a regular hexagon is made of 6 equilateral triangles. So we can easily find the area by multiplying the given triangle’s area with 6.

Complete answer:

It is given that area of triangle OAB = 9 ${cm^2}$

As mentioned in the hint, a regular hexagon is made up of 6 equilateral triangles.

Area of hexagon ABCDEF = 6 times area of triangle OAB

Area of hexagon ABCDEF = ${6 \times 9}$

Area of hexagon ABCDEF = 54 ${cm^2}$

So, this is your required answer

NOTE: - If it is not a regular hexagon, then it is not made up of  6 equilateral triangles.