Final answer:
The area of the bold sector is approximately 44.1 square meters.
Step-by-step explanation:
To find the area of a sector, you can use the formula A = (θ/360) * π * r^2, where θ is the central angle and r is the radius. In this case, the central angle is 150 degrees and the radius is 3 meters. Plugging these values into the formula, we get A = (150/360) * 3.14 * (3^2) = 1.5708 * 3.14 * 9 = 44.06844. Rounding to the nearest tenth, the area of the sector is approximately 44.1 square meters.