1. **State the problem:** We need to find the area of a rectangle with given side lengths 4.6 ft and 8.4 ft. 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: $$A = 4.6 \times 8.4$$ 4. **Calculate:** $$A = 38.64$$ 5. **Answer:** The area of the rectangle is $38.64$ square feet.