1. **State the problem:** Find the area of the irregular polygon with given side lengths 10 cm, 7 cm, 2 cm, 2 cm, 3 cm, and 10 cm. 2. **Analyze the shape:** The figure can be decomposed into simpler shapes: a large triangle on the left and a rectangle plus a small rectangle step on the right. 3. **Calculate the area of the large triangle:** The base is 10 cm and the height is 7 cm. $$\text{Area}_{\triangle} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 10 \times 7 = 35$$ 4. **Calculate the area of the rectangle on the right:** The rectangle has width 3 cm and height 2 cm. $$\text{Area}_{\text{rect}} = \text{width} \times \text{height} = 3 \times 2 = 6$$ 5. **Calculate the area of the small step rectangle:** The small step has width 2 cm and height 2 cm. $$\text{Area}_{\text{step}} = 2 \times 2 = 4$$ 6. **Sum all areas:** $$\text{Total Area} = 35 + 6 + 4 = 45$$ 7. **Final answer:** The area of the figure is **45 square centimeters**.