To find the number of quadrilaterals in the given figure, we need to identify all possible combinations of four lines that form a closed shape. The image consists of overlapping squares, and we need to systematically count each possible quadrilateral.

Let's break it down:

• Individual squares: Count each square as one quadrilateral. There are 5 small squares in the figure.
• Rectangles made by combining squares:
  • 2 squares can form a rectangle: We can choose horizontally and vertically adjacent squares to form rectangles. There are 4 horizontal rectangles and 2 vertical rectangles.
  • 3 squares can form a larger rectangle horizontally and vertically. There are 4 possible rectangles.
• Larger combinations:
  • Consider combinations involving more than three squares, keeping the structure of the figure in mind. Count combinations like two squares stacked vertically and horizontally overlapping with others.
  • Count overlapping combinations carefully to ensure no repeated counting occurs.

Let’s sum up the counted quadrilaterals:

• 5 individual squares
• 4 (2-square) horizontal rectangles
• 2 (2-square) vertical rectangles
• 4 (3-square) combinations
• Total distinct quadrilaterals = 19

Therefore, the total number of quadrilaterals in the figure is 19.

Thus, the correct answer is 19.