NumericalModerate1.5 marks
11(a)
A model of a high rise building is made to a scale of 1 : 50.
If the floor area of a flat in the building is 20 m2, find the floor area of that in the model.
Topic: Similarity / scale / maps and models
Previous-year question practice database
Answer
Exam answer
Area scale model : actual = 1² : 50² = 1 : 2500.
Actual floor area = 20 m².
Model floor area = 20/2500 = 0.008 m² = 80 cm².
Answer: 80 cm².
Explanation
Areas vary as the square of the linear scale factor; convert the result from m² to cm².
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