Question the-fl
The floor of a ballroom has an area of square meters. An architect creates a scale model of the floor of the ballroom, where the length of each side of the model is times the length of the corresponding side of the actual floor of the ballroom. What is the area, in square meters, of the scale model?
The floor of a ballroom has an area of 600 square meters. An architect creates a
Hard-difficulty · SAT Math · Ratios, Rates, and Proportional Relationships — Scale factors in geometry. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice A is correct. It’s given that the length of each side of a scale model is times the length of the corresponding side of the actual floor of a ballroom. Therefore, the area of the scale model is , or , times the area of the actual floor of the ballroom. It’s given that the area of the floor of the ballroom is square meters. Therefore, the area, in square meters, of the scale model is , or .
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
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