Mathematics for IGCSE & O level - Similarity (Section 2 - No. 20)
A model of a building is made to a scale of 1:50. A room in the model is a cuboid with dimensions 7.4cm by 9.8cm by 6.5cm high. Calculate the floor area of the room in the actual building.
72.52 m²
36.26 m²
18.13 m²
181.3 m²
Explanation
The scale factor is 50. The area scale factor is 50^2 = 2500. The floor area is 7.4 * 9.8 = 72.52 cm². Therefore, the real area is 72.52 * 2500 = 181300 cm² = 18.13 m²
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