The area of the hexagon in the image is 270 square centimetrs.
How to find the area of the hexagon?
We can view this hexagon as 6 triangles of base B = 10cm and height H = 9cm.
Remember that the area of a triangle of base B and height H is:
A = B*H/2
Because we have 6 triangles, the total area of the hexagon is given by:
A = 6*(10cm*9cm)/2 = 270cm²