Mathematics for IGCSE & O level - Similarity (Section 1 - No. 39)

Two similar figures have perimeters in the ratio 3:5. If the smaller figure has an area of 18 cm², what is the area of the larger figure?
30 cm²
50 cm²
75 cm²
125 cm²

Explanation

Length scale factor = 5/3. Area scale factor = (5/3)². Area = 18 * 25/9 = 50cm².

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