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: D. 150
- Step 1: The ratio of areas is the square of the ratio of lengths: .
- Step 2: Larger area .
Answer
150.
Why not the others: 120: it uses the length ratio for the area. 105: it uses the cube of the ratio. 97: it adds the difference of the lengths.
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