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Zorluk: KolayScale Drawings and Map Measurements

A regional transit map uses a scale where 11 inch represents exactly 44 miles. If two train stations are drawn 5.55.5 inches apart on this map, what is the actual physical distance between them?

  1. A
    1.3751.375 miles
  2. B
    2.22.2 miles
  3. C
    9.59.5 miles
  4. 2222 milesCevap

Cevap

The actual distance between the two train stations is 2222 miles.
The map scale provides a direct ratio: every 11 inch corresponds to 44 miles. To determine the actual distance, the map distance must be multiplied by this scale factor. Calculating 5.5×45.5 \times 4 yields 2222 miles.

Adım Adım Çözüm

1
Identify the provided map scale and the measured map distance.
The scale is 11 inch = 44 miles. The map distance is 5.55.5 inches.
Establishing the known values is necessary to set up the correct conversion calculation.
2
Multiply the map distance by the scale factor to find the actual distance.
5.5×4=225.5 \times 4 = 22 miles.
Because each single inch represents 44 actual miles, multiplying the total inches by 44 scales the measurement up to real-world size.

Anahtar Kavram

Applying a basic linear map scale to find actual distances using direct multiplication.
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Konular

Scale Drawings and Map Measurements

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