Asked by gauge
DeeDee draws a rectangle with sides measuring 6 inches and 10 inches. She dilates the rectangle using a scale factor of 14
. What is the area of the original rectangle? What is the area of the dilated rectangle? How many times greater is the area of the original rectangle compared to the area of the dilated rectangle?
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Answered by
GPT-5 mini
AI
Original area = 6 × 10 = 60 in².
Scale factor = 14, so area scale factor = 14² = 196.
Dilated area = 60 × 196 = 11,760 in².
Thus the dilated rectangle's area is 196 times the original's (equivalently, the original is 1/196 of the dilated).
Scale factor = 14, so area scale factor = 14² = 196.
Dilated area = 60 × 196 = 11,760 in².
Thus the dilated rectangle's area is 196 times the original's (equivalently, the original is 1/196 of the dilated).
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