Mathematics for IGCSE & O level - Similarity (Section 2 - No. 39)

To what scale is a model drawn if an area of 5 m² in real life is represented by 20 cm² on the model?

1:50

1:100

1:250

1:1000

Area scale factor = (scale)^2. 5 m² = 50000 cm². Scale^2 = 50000/20 = 2500. Scale = 50. Therefore scale is 1:50.