Answer:
About 
 
 
Explanation:
In the given image each of the square has side 1 cm by 1 cm.
If we could count the whole squares in the image we can see that there are about 14 whole squares, then there are 6 squares which are nearly half occupied so that makes about 3 whole squares. And then there are almost 12 squares whose quarter area is enclosed by the lines so that makes about 3 whole squares. 
So the total area of the given figure is about 
 .
.