1. **State the problem:** Maya wants to find the area of a shaded triangle. She knows the height is 10 m and needs to find the correct base length to use. 2. **Recall the formula for the area of a triangle:** $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. **Identify the height and base:** The height is given as 10 m, which is a vertical segment inside the triangle. 4. **Analyze the given lengths:** - The total length along the bottom is 73 m. - The base is split into two parts by the height line: 24 m on one side and 22 m on the other side. - The slant side is 52 m. 5. **Determine the base corresponding to the height:** The height is drawn perpendicular to the base, splitting it into two segments: 24 m and 22 m. 6. **Calculate the base length:** $$\text{base} = 24 + 22 = 46\ \text{m}$$ 7. **Check the options:** - 22 m (one segment) - 25 m (not matching any segment) - 52 m (slant side, not base) - 73 m (total length, but base is split) Since the height is perpendicular to the base, the base is the segment along the bottom that the height intersects, which is the sum of 24 m and 22 m, totaling 46 m. However, 46 m is not an option. 8. **Re-examine the problem:** The problem states the base options are 22 m, 25 m, 52 m, or 73 m. Given the height is 10 m, and the base is the segment perpendicular to the height, the base must be the segment labeled 24 m + 22 m = 46 m, but since 46 m is not an option, the closest base segment to the height is 24 m or 22 m. Since the height is drawn from the vertex opposite the base, the base is the segment of length 52 m (the slant side is 52 m, so base is likely 52 m). 9. **Conclusion:** The base corresponding to the height of 10 m is 52 m. **Final answer:** 52 m