Problem Analysis:

We need to calculate the total distance Susi has run, given that she runs 3 laps around the running track, which surrounds the sports fields. The dimensions of the field and surrounding areas are clearly shown in the image.

Steps to Solve:

1. Field Dimensions:

   • Field dimensions: 103 m (length) and 67 m (width).
   • The running track is located 1.8 m (180 cm) outside the field's boundary.

2. Track Dimensions:

   • Include the extra width due to the track (2 × 1.8 m) to both the length and width:
     • Outer length = 103 m + (2 × 1.8 m) = 103 m + 3.6 m = 106.6 m.
     • Outer width = 67 m + (2 × 1.8 m) = 67 m + 3.6 m = 70.6 m.

3. Track Perimeter:

   • Perimeter of the rectangular track = 2 × (Outer length + Outer width):
     • $\text{Perimeter} = 2 \times (106.6 + 70.6) = 2 \times 177.2 = 354.4 \, \text{meters}.$

4. Total Distance Run:

   • Susi runs 3 laps, so total distance = $3 \times 354.4 = 1063.2 \, \text{meters}$.
   • Convert meters to kilometers: $1063.2 \, \text{m} = 1.0632 \, \text{km}.$

5. Rounded Answer:

   • Round to two decimal places: $\text{Total distance} = 1.06 \, \text{km}.$

Final Answer:

Susi has run 1.06 kilometers in total.

Would you like me to explain any step in more detail?

Related Questions:

1. How is the perimeter of a rectangle calculated in general?
2. What is the significance of adding the 1.8 m track width twice?
3. How do we convert between meters and kilometers?
4. Why do we round the answer to two decimal places?
5. What would be the total distance for a different number of laps?

Tip:

Always double-check unit conversions to ensure accuracy, especially when switching between meters and kilometers.