1. **State the problem:** We have two similar polygons, Polygon A and Polygon B. Polygon A has a perimeter of 40 yards and a side length of 5 yards. Polygon B has a perimeter of 360 yards. We need to find the side length of the corresponding side of Polygon B. 2. **Recall the property of similar polygons:** The ratio of corresponding side lengths is equal to the ratio of their perimeters. 3. **Set up the ratio:** Let the side length of Polygon B be $x$ yards. Then, $$\frac{x}{5} = \frac{360}{40}$$ 4. **Simplify the right side:** $$\frac{360}{40} = 9$$ 5. **Solve for $x$:** $$x = 5 \times 9 = 45$$ 6. **Answer:** The side length of the corresponding side of Polygon B is **45 yards**.