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Lauren can take two routes from her house to her school. One is via the lighthouse and the other is via the church, as shown in the figure. Which route is shorter?DDDD cccc
Route via the light house
Route via the church
Both routes have same distance
Step 1: The distance from Lauren′s house to school via the lighthouse = the distance from her house to the lighthouse + the distance from the lighthouse to the school
Step 2: = 260 + 182[Substitute the values.]
Step 3: = 442[Add.]
Step 4: The distance from Lauren′s house to school via the church = the distance from her house to the church + the distance from the church to the school
Step 5: = 280 + 215[Substitute the values.]
Step 6: = 495[Add.]
Step 7: Therefore, 442 < 495[Compare the distances.]
Step 8: The route via the lighthouse is the shorter route from Lauren′s house to her school.