The dimensions of a 10 ft by 6 ft rectangle are multiplied by \(\frac{1}{3}\). How is the area affected?
Answer (2)
Area is proportional to the square of the dimensions. Divide the dimensions by 3, and you divide the area by 3-squared = 9.
When the dimensions of a 10 ft by 6 ft rectangle are multiplied by 3 1 , the area decreases from 60 ft² to approximately 6.67 ft². This is because area changes by the square of the factor of the dimensions, leading to a new area that is 9 1 of the original. Hence, the rectangle's area is significantly reduced by a factor of 9.
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