Math Problem Statement
or Justine drew a scale drawing of a shopping center. The scale of the drawing was 7 millimeters = 1 meter. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
Solution
To find the scale factor, we express the given scale as a fraction in terms of the same unit.
Given:
- 7 millimeters represents 1 meter.
- Convert 1 meter to millimeters:
- Write the ratio as a fraction:
- Simplify the fraction:
Final Answer:
The scale factor is .
Would you like an explanation of how scale factors are used in real-life applications?
Here are some related questions for further practice:
- If a building in the drawing is 35 mm tall, how tall is the actual building?
- What would be the drawing length for a 25-meter-long store?
- If another scale is given as 5 mm = 2 m, what is the scale factor?
- How would the scale change if the drawing used centimeters instead of millimeters?
- Can you convert the scale factor into a decimal?
Tip: A scale factor is always written as a ratio without units. It helps compare model sizes to real-world sizes!
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Math Problem Analysis
Mathematical Concepts
Ratios
Scale Drawings
Fractions
Formulas
Scale factor = (Drawing Measurement) / (Actual Measurement)
Theorems
Proportionality in Scale Drawings
Suitable Grade Level
Grades 6-8