1. **State the problem:** Find the area of a rectangular room with length 30 feet and width 18 feet. 2. **Formula:** The area $A$ of a rectangle is given by the formula: $$A = \text{length} \times \text{width}$$ 3. **Apply the formula:** Substitute the given values: $$A = 30 \times 18$$ 4. **Calculate:** $$A = 540$$ 5. **Interpretation:** The area of the room is 540 square feet. **Final answer:** 540 sq ft