1. **State the problem:** We need to find the possible area of the base of a rectangular prism battery given the length and width measurements rounded to the nearest hundredth inch. 2. **Given:** Length $L = 7.29$ inches, Width $W = 4.63$ inches. 3. **Formula for area of a rectangle:** $$\text{Area} = L \times W$$ 4. **Important rule:** Since the measurements are rounded to the nearest hundredth, the actual length and width could vary by up to $\pm 0.005$ inches. 5. **Calculate the minimum and maximum possible lengths and widths:** - Minimum length: $7.29 - 0.005 = 7.285$ - Maximum length: $7.29 + 0.005 = 7.295$ - Minimum width: $4.63 - 0.005 = 4.625$ - Maximum width: $4.63 + 0.005 = 4.635$ 6. **Calculate minimum possible area:** $$7.285 \times 4.625 = 33.684125$$ 7. **Calculate maximum possible area:** $$7.295 \times 4.635 = 33.818325$$ 8. **Check which answer choices fall within this range:** - A. 28 (too low) - B. 33.58 (below minimum) - C. 33.72 (within range) - D. 35 (too high) 9. **Conclusion:** The possible area of the base is approximately $33.72$ square inches. **Final answer:** C. 33.72