Two similar figures have corresponding lengths in the ratio . The smaller figure has area cm. Find the area of the larger figure in cm.

Answer and explanation

Correct answer: B. 75

  1. Step 1: The ratio of areas is the square of the ratio of lengths: .
  2. Step 2: Larger area .
Answer
75.
Why not the others: 30: it uses the length ratio for the area. 33: it uses the cube of the ratio. 15: it adds the difference of the lengths.

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Two similar figures have… | Junior Cycle (Ireland)