ACT Math · Triangles and similarity
A figure with a perimeter of 24 is enlarged by a scale factor of 2.5. What is the perimeter of the enlarged figure?
A figure with a perimeter of 24 is enlarged by a scale factor of 2.5. What is the perimeter of the enlarged figure?
Answer and explanation
Answer: H: 60
When a figure is enlarged by a scale factor , every length, including the perimeter, is multiplied by . So the new perimeter is , choice H. Areas would scale by , but perimeter is a length. Choice G () uses a scale factor of instead of . Choice F () adds instead of multiplying. Choice J () multiplies by , which is the factor for area. Check that the enlarged perimeter is larger than the original, by a factor of .
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