The correct answer is Option 3 which is 52 cm2.
Option 1 presents 36 cm2, which is the area you`d get by considering only 6 squares of side length 6 cm. This would mean you`re excluding two shaded squares, making this option incorrect.
Option 2 suggests an area of 48 cm2. This option would mean you`re considering only 8 squares, excluding one shaded square, which is incorrect.
Option 3 proposes an area of 52 cm2, which is the correct answer as it accounts for all 9 shaded squares (considering a square side length of 10 cm divided by 3, each unit square has an area of 52/9 cm2).
Option 4 indicates an area of 64 cm2 which would imply the presence of extra units we don`t have in the figure, thus, making it a wrong answer.