This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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You're on a roll — 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 cm on the plan represents 100 cm (or 1 m) in real life. 3.2.2 Each seat in the cinema is square-shaped and measures 0.5 m × 0.5 m in real life. Using a scale of 1:100, draw a scaled diagram of ONE seat. Step 1: Convert the real-life dimensions of the seat from meters to centimeters. 0.5 m = 0.5 × 100 cm = 50 cm So, each seat is 50 cm × 50 cm in real life. Step 2: Apply the scale 1:100 to find the dimensions on the drawing. Scaled dimension = Real dimension100 = 50 cm100 = 0.5 cm Therefore, on the drawing, each seat will be a square with sides measuring 0.5 cm. Drawing: A square with sides of length 0.5 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. 4 down, 1 to go! What's next?