1. **State the problem:** We need to find the area of a piecewise rectangular figure with given side lengths. 2. **Understand the figure:** The figure can be divided into two rectangles joined together. 3. **Identify dimensions:** - Left rectangle: height $3$ m, width $2$ m - Right rectangle: height $2$ m, width $5$ m 4. **Formula for area of rectangle:** $$\text{Area} = \text{height} \times \text{width}$$ 5. **Calculate area of left rectangle:** $$3 \times 2 = 6$$ 6. **Calculate area of right rectangle:** $$2 \times 5 = 10$$ 7. **Total area:** $$6 + 10 = 16$$ 8. **Answer:** The area of the figure is $16$ square meters.