Mathematics for IGCSE & O level - Similarity (Section 2 - No. 47)
If a model of a building is created to a scale of 1:50, and a room in the model has dimensions 7.4 cm by 9.8 cm by 6.5 cm, calculate the floor area of the room in the actual building.
362.6 cm²
723.2 cm²
1.85 m²
18.5 m²
Explanation
Floor area = 7.4cm * 9.8 cm = 72.52 cm². Area scale factor = 50^2 = 2500. Actual area = 72.52 * 2500 = 181300 cm² = 18.13 m²
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