Henry is going to ride his bike to and from school each day. He wants to ride the least possible distance. The map shows the possible routes that Henry could ride each day. ![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-26%20at%2011.20.42%20AM_20230426092117995537.png) The park near Henry's house is closed before school, so he cannot ride through the park on his way to school. Complete the sentence to show which routes Henry should take to ride the least possible distance. Henry should take _______(Route A/Route B/Route C)on the way to school and______________ (Route A/Route B / Route C) on the way home from school.

Answer ![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-26%20at%2011.20.55%20AM_20230426092131568492.png) Given that, The park near Henry's house is closed before school, so he cannot ride through the park on his way to school The total distance of route $$A=(16+\sqrt{170}) \times 100 \approx 2904$$ yards The total distance of route $$B=(13+5+\sqrt{34}) \times 100 \approx 2383$$ yards The total distance of route $$C=(22+\sqrt{32}) \times 100 \approx 2766$$ yards Since, he cannot take route $$B$$ to go to school, so he will take route $${C}$$, and while coming back from school, he will take route $$B$$.

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Henry is going to ride his bike to and from school each day. He wants to ride the least possible distance. The map shows the possible routes that Henry could ride each day.

The park near Henry’s house is closed before school, so he cannot ride through the park on his way to school. Complete the sentence to show which routes Henry should take to ride the least possible distance. Henry should take _(Route A/Route B/Route C)on the way to school and__ (Route A/Route B / Route C) on the way home from school.

Route C ; Route B

Route A ; Route B

Route C ; Route A

Route C ; Route C

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