1. **State the problem:** Find the area of the rectilinear figure composed of rectangles with given side lengths where all sides meet at right angles. 2. **Understand the figure:** The figure has an inward notch at the top center, with side lengths labeled as follows: top segments 3 cm, 3 cm, and 3 cm; vertical segments 2 cm down and 2 cm up; left and right sides 7 cm each; bottom side 9 cm. 3. **Formula for area of rectilinear figure:** The area can be found by dividing the figure into rectangles, finding each rectangle's area, and summing them. 4. **Divide the figure:** Split the figure into two rectangles: - Left rectangle: width 3 cm + 3 cm = 6 cm, height 7 cm - Right rectangle (notch area): width 3 cm, height 2 cm 5. **Calculate areas:** - Area of left rectangle: $$6 \times 7 = 42$$ cm² - Area of notch rectangle: $$3 \times 2 = 6$$ cm² 6. **Calculate total area:** - Total area = Area of left rectangle + Area of right rectangle - Area of notch (since notch is inward) - But since the notch is subtracted, total area = $$42 + 3 \times (7 - 2) = 42 + 3 \times 5 = 42 + 15 = 57$$ cm² 7. **Check with bottom length:** Bottom length is 9 cm, which matches 6 cm + 3 cm, confirming the division. **Final answer:** $$\boxed{57 \text{ cm}^2}$$