Mathematics for IGCSE & O level - Similarity (Section 1 - No. 48)

The lengths of the sides of two similar rectangles are in a ratio of 3:7. If the area of the smaller rectangle is 27 cm², what is the area of the larger rectangle?
63 cm²
105 cm²
147 cm²
441 cm²

Explanation

The ratio of the areas is 3²:7² or 9:49. Thus, Area of larger rectangle = (27 * 49)/9 = 147 cm²

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