1. **State the problem:** We have two similar figures with corresponding side lengths. We need to find the missing length $v$ in the yellow figure. 2. **Recall the property of similar figures:** Corresponding sides of similar figures are proportional. This means the ratios of corresponding side lengths are equal. 3. **Set up the proportion:** Given the pink figure sides are 5 yd and 1 yd, and the yellow figure sides are $v$ and 2 yd, the proportion is: $$\frac{v}{5} = \frac{2}{1}$$ 4. **Solve for $v$:** Cross-multiply: $$v \times 1 = 5 \times 2$$ $$v = 10$$ 5. **Answer:** The missing length $v$ is 10 yards.