The lake frontage of Lot B is approximately 68.0 yards (rounded to the nearest tenth).
To determine the lake frontage of Lot B, you can use the given information. The lake frontage of each lot is proportional to the respective lengths of the lots.
1. Calculate the total length of the lots:
![\[ \text{Total Length} = \text{Lot A} + \text{Lot B} + \text{Lot C} \]](https://img.qammunity.org/2022/formulas/mathematics/middle-school/g4of0ekc05c09poysazczpjybgte31karr.png)
![\[ \text{Total Length} = 57 \, \text{yd} + 66 \, \text{yd} + 58 \, \text{yd} \]](https://img.qammunity.org/2022/formulas/mathematics/middle-school/lyopsgfqxgvwvu6zjgnqtzzyqb0m6hgzz2.png)
![\[ \text{Total Length} = 181 \, \text{yd} \]](https://img.qammunity.org/2022/formulas/mathematics/middle-school/ionwjw0k5spctsu76l7yqxuli4w5wb3sld.png)
2. Calculate the ratio of Lot B to the total length:
![\[ \text{Ratio} = \frac{\text{Lot B}}{\text{Total Length}} \]](https://img.qammunity.org/2022/formulas/mathematics/middle-school/lkbenuptl8w16dyhvvwp4yyrquggh9hl62.png)
![\[ \text{Ratio} = \frac{66 \, \text{yd}}{181 \, \text{yd}} \]](https://img.qammunity.org/2022/formulas/mathematics/middle-school/3mazkpkdj6yrbc9ea8dlv09dg40fkzzmng.png)
![\[ \text{Ratio} \approx 0.364 \]](https://img.qammunity.org/2022/formulas/mathematics/middle-school/68zh9ytob473rx7wf7xkosc3s9y3xadfb4.png)
3. Determine the lake frontage of Lot B:
![\[ \text{Lake Frontage of Lot B} = \text{Ratio} * \text{Lake Distance} \]](https://img.qammunity.org/2022/formulas/mathematics/middle-school/fkwdw8i2c06jfuwtz1v9h0wmj6xp2miron.png)
![\[ \text{Lake Frontage of Lot B} = 0.364 * 187 \, \text{yd} \]](https://img.qammunity.org/2022/formulas/mathematics/middle-school/i5zfc9bf53enb286b6alsfzd5c3rjpsrn1.png)
![\[ \text{Lake Frontage of Lot B} \approx 68.008 \, \text{yd} \]](https://img.qammunity.org/2022/formulas/mathematics/middle-school/63y9dumyyj4v1196871foqr902yx1bjzpz.png)
So, the lake frontage of Lot B is approximately 68.0 yards (rounded to the nearest tenth).