Jim says that the marked yellow paths show the shortest path to the tent. Write an expression to represent this and find the distance Jim walks from the haunted castle to the clown... Jim says that the marked yellow paths show the shortest path to the tent. Write an expression to represent this and find the distance Jim walks from the haunted castle to the clown tent.
Understand the Problem
The question is asking to write an expression representing the shortest path based on visually marked paths and to calculate the actual distance Jim walks from the haunted castle to the clown tent.
Answer
The distance is \( D = 10 \) meters.
Answer for screen readers
The distance Jim walks from the haunted castle to the clown tent is represented by the equation ( D = a + b + c ) and equals ( 10 ) meters.
Steps to Solve
- Identify the Path Segments
Assuming the marked paths are comprised of straight segments, label the individual segments from the haunted castle to the clown tent as ( a ), ( b ), and ( c ).
- Write the Expression for Total Distance
The total distance Jim walks can be expressed as the sum of the lengths of these segments. Thus, the expression will be: $$ D = a + b + c $$ where ( D ) is the total distance.
- Measure Each Segment
If you have the specific lengths for each segment, substitute those values into the expression. For instance, if ( a = 5 ) meters, ( b = 3 ) meters, and ( c = 2 ) meters, then: $$ D = 5 + 3 + 2 $$
- Calculate the Total Distance
Perform the addition to find out how far Jim walks: $$ D = a + b + c $$ In this case, substituting the sample lengths gives: $$ D = 5 + 3 + 2 = 10 \text{ meters} $$
The distance Jim walks from the haunted castle to the clown tent is represented by the equation ( D = a + b + c ) and equals ( 10 ) meters.
More Information
This problem involves understanding how to break a path down into segments and then calculating the total distance by summing those segments. When dealing with real paths, always ensure to measure accurately.
Tips
- Measuring Incorrectly: Make sure to measure each segment accurately and use consistent units.
- Forgetting to Add: Always remember to sum all segments to find the total distance.
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