1. **State the problem:** We need to find the area of an L-shaped figure composed of two rectangles joined at right angles. 2. **Identify the rectangles:** The larger rectangle has dimensions 3 in (width) by 5 in (height). The smaller rectangle attached on the left side has dimensions 2 in (width) by 2 in (height). 3. **Formula for area of a rectangle:** $$\text{Area} = \text{width} \times \text{height}$$ 4. **Calculate the area of the larger rectangle:** $$3 \times 5 = 15$$ square inches 5. **Calculate the area of the smaller rectangle:** $$2 \times 2 = 4$$ square inches 6. **Add the areas to find total area:** $$15 + 4 = 19$$ square inches **Final answer:** The area of the L-shaped figure is **19** square inches.