### Solution: Traverse Area

#### Problem (1)

What is the area of the traverse below? If the traverse precision was 1/11,300, what is the area's expected error?

This solution starts at point 105 and travels counter-clockwise around the traverse.

Point |
North |
East |
||

105 | 1541.207 | 2215.890 | 3,044,444 | |

104 | 1373.915 | 2336.574 | 3,037,121 | 3,601,144 |

103 | 1299.818 | 2350.205 | 3,156,770. | 3,228,982 |

102 | 1343.189 | 2523.212 | 3,959,828 | 3,279,716 |

101 | 1569.360 | 2359.080 | 3,635,831 | 3,168,690. |

105 | 1541.207 | 2215.890 | 3,477,529 | |

sums: |
16,833,994 |
16,756,061 |

Based on significant figures, the cross products are good to the nearest one's place which makes the sums good to the same level.

Because we generally carry an additional place to minimize rounding, area should be good to nearest 10 square feet. That is consistent with the expected error.

**Answer: Area = 38,970 ft ^{2} ± 5 ft^{2}**