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The line XY below is drawn to scale and represents the distance between Khalid's shop and Ole Sankale's hardware. If the actual distance is 900 m, what is the scale used to make the drawing in ratio form?

Mathematics

ScanSolve AI Answer

Answer

1:25000

Step-by-step solution

4 steps

12.

  1. Identify the given information.

    The actual distance between Khalid's shop and Ole Sankale's hardware is 900 m900 \text{ m}.
    By measuring the line XY directly from the image, its length is approximately 3.6 cm3.6 \text{ cm}.

  2. Convert the actual distance to centimeters.

    Since 1 m=100 cm1 \text{ m} = 100 \text{ cm}:

    Actual distance=900 m×100 cm/m=90000 cm\text{Actual distance} = 900 \text{ m} \times 100 \text{ cm/m} = 90000 \text{ cm}
  3. Express the scale as a ratio (drawing length

    actual length).

    Scale=3.6 cm:90000 cm\text{Scale} = 3.6 \text{ cm} : 90000 \text{ cm}
  4. Simplify the ratio to the form $1:N$.

    Divide both sides of the ratio by 3.6:

    Scale=3.63.6:900003.6=1:25000\text{Scale} = \frac{3.6}{3.6} : \frac{90000}{3.6} = 1 : 25000

    The scale used to make the drawing is 1:250001:25000.

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