1. **Stating the problem:** We have two fences with lengths $\frac{1}{4}$ feet and $\frac{1}{2}$ inches. We want to find the unit rate in inches per foot and then find the length of fence B in inches if it is 5 feet long. 2. **Understanding units:** - 1 foot = 12 inches. - Fence A length is $\frac{1}{4}$ feet. - Fence B length is $\frac{1}{2}$ inches. 3. **Convert fence A length to inches:** $$\frac{1}{4} \text{ feet} = \frac{1}{4} \times 12 = 3 \text{ inches}$$ 4. **Calculate the unit rate (inches per foot):** We have 3 inches per $\frac{1}{4}$ foot, so the unit rate is: $$\text{Unit rate} = \frac{3 \text{ inches}}{\frac{1}{4} \text{ foot}} = 3 \times \frac{4}{1} = 12 \text{ inches per foot}$$ 5. **Find fence B length in inches for 5 feet:** Since the unit rate is 12 inches per foot, for 5 feet: $$5 \text{ feet} \times 12 \frac{\text{inches}}{\text{foot}} = 60 \text{ inches}$$ **Final answer:** Fence B length is 60 inches when it is 5 feet long.