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Explain what a scale of 1:100 means. How would you represent a 0.5m seat on a diagram using this scale? Why is scale drawing important?

Mathematics

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3.2.1
The scale 1:1001 : 100 means that 1 unit of measurement on the drawing represents 100 of the same units in real life. For example, 1 cm1 \text{ cm} on the drawing would represent 100 cm100 \text{ cm} (or 1 m1 \text{ m}) in the actual cinema hall.

3.2.2

  1. Convert the real-life seat dimension to centimeters.

    0.5 m=0.5×100 cm=50 cm0.5 \text{ m} = 0.5 \times 100 \text{ cm} = 50 \text{ cm}
  2. Apply the scale $1:100$ to find the dimension on the drawing.

    Drawing dimension=Real-life dimensionScale factor\text{Drawing dimension} = \frac{\text{Real-life dimension}}{\text{Scale factor}} Drawing dimension=50 cm100=0.5 cm\text{Drawing dimension} = \frac{50 \text{ cm}}{100} = 0.5 \text{ cm}

    A scaled diagram of one seat would be a square with sides measuring 0.5 cm by 0.5 cm.

    3.2.3
    Working with scale drawings is important because it allows planners to visualize the entire layout and arrangement of spaces and objects accurately before any physical construction begins, helping to identify potential issues or optimize space utilization.

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