Explain what a scale of 1:100 means and why scale drawings are important in planning buildings.

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here are the solutions for the cinema seating plan.

3.2.1 Explain what the scale 1:100 means in this context.

In this context, a scale of $1:100$ means that every 1 unit of measurement on the drawing represents 100 units of the same measurement in the actual cinema hall. For example, $1 \text{ cm}$ on the plan represents $100 \text{ cm}$ (or $1 \text{ m}$ ) in real life.

3.2.2 Each seat in the cinema is square-shaped and measures $0.5 \text{ m} \times 0.5 \text{ m}$ in real life. Using a scale of $1:100$ , draw a scaled diagram of ONE seat.

Convert the real-life dimensions of the seat from meters to centimeters.
$0.5 \text{ m} = 0.5 \times 100 \text{ cm} = 50 \text{ cm}$
So, each seat is $50 \text{ cm} \times 50 \text{ cm}$ in real life.
Apply the scale $1:100$ to find the dimensions on the drawing.
$\text{Scaled dimension} = \frac{\text{Real dimension}}{100} = \frac{50 \text{ cm}}{100} = 0.5 \text{ cm}$
Therefore, on the drawing, each seat will be a square with sides measuring $0.5 \text{ cm}$ .
- Drawing: A square with sides of length $0.5 \text{ cm}$ .
3.2.3 Explain why working with scale drawings is important when planning the layout of buildings such as cinemas or shopping centres. Give ONE reason.

Working with scale drawings is important because it allows planners to accurately visualize the layout of a large space on a manageable piece of paper. This helps in identifying potential problems, optimizing space utilization, and ensuring all components (like seats, aisles, and exits) fit correctly and meet safety standards before construction begins.

Explain what a scale of 1:100 means and why scale drawings are important in planning buildings.

Step-by-step solution

Convert the real-life dimensions of the seat from meters to centimeters.

Apply the scale $1:100$ to find the dimensions on the drawing.

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