The triangle and rectangle overlap, creating a shaded region of 36 cm².

• Ratio of triangle area : rectangle area = 4 : 9.
• Let triangle area = 4u, rectangle area = 9u.
• The shaded area (36 cm²) is the overlapping part.
• From the figure, the shaded fraction of the rectangle is \(\frac{1}{12}\).
• So rectangle area = 36 × 12 = 432 cm².
• 9u = 432, so u = 48.
• Triangle area = 4u = 4 × 48 = 192 cm².

Final Answer: 192 cm²