SOLUTION: If A= 3r^2h^2, and (rh) increases by 100%, then the new A is how many times greater than the old A? A)2 B) 3 C) 4 D) 12

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Question 1142825: If A= 3r^2h^2, and (rh) increases by 100%, then the new A is how many times greater than the old A?
A)2
B) 3
C) 4
D) 12
Answer by greenestamps(13200) About Me  (Show Source):
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A = 3r^2h^2 = 3(rh)^2

An increase of 100% in the value of (rh) means the value doubles. When that doubled value is squared, the new area is 4 times the old area.

The question asks how many times GREATER the new A is than the old A. 4 times AS LARGE AS is a 300% INCREASE, which is 3 TIMES LARGER THAN.

So the grammatically correct answer is 3 (answer choice B). But it is very possible that an answer key for this problem will incorrectly say 4 (choice C).