Math Problem Statement

On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?

Solution

This problem is asking to find how many kilometers 7 centimeters represent on a map, given that 1 centimeter represents 25 kilometers.

To solve this:

  1. Set up the relationship:

    • 1 cm = 25 km
    • So, 7 cm will represent 7×257 \times 25 kilometers.
  2. Calculate: 7×25=175km7 \times 25 = 175 \, \text{km}

Thus, 7 centimeters on the map represents 175 kilometers.

The correct answer is 175 km.

Would you like further clarification or have any other questions about this problem?

Here are some related questions:

  1. How would the answer change if the scale were different (e.g., 1 cm = 20 km)?
  2. What is the relationship between distance on the map and the actual distance in real life?
  3. How do you convert real-world measurements into scale measurements on a map?
  4. How can you represent a larger map scale in terms of centimeters?
  5. What is the significance of scale in maps?

Tip: Always remember to multiply the scale factor (distance per unit) by the length on the map to find the real-world distance.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Proportions
Scales on Maps

Formulas

Scale formula: Distance on map * scale factor = actual distance

Theorems

Scaling Theory

Suitable Grade Level

Grades 5-7