1. **State the problem:** Find the area of the composite shape which is an L-shaped rectangle with given side lengths.
2. **Formula and rules:** The area of a composite rectangle can be found by dividing it into simpler rectangles, calculating each area, and then summing them.
3. **Identify rectangles:**
- Rectangle A (top horizontal part): width = 30 ft, height = 15 ft
- Rectangle B (left vertical part): width = 5 ft, height = 20 ft - 15 ft = 5 ft
4. **Calculate areas:**
$$\text{Area}_A = 30 \times 15 = 450$$
$$\text{Area}_B = 5 \times 5 = 25$$
5. **Sum areas:**
$$\text{Total Area} = 450 + 25 = 475$$
6. **Answer:** The area of the composite rectangle is **475 square feet**.
Area Composite F57C32
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.