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Rectangle A has twice the area of Rectangle B. The width o
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19 Oct 2017, 15:30
19 Oct 2017, 15:30
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Question Stats:
48% (01:58) correct
51% (01:52) wrong based on 189 sessions
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Rectangle A has twice the area of Rectangle B. The width of Rectangle A is less than 1/2 the width of Rectangle B.
Quantity A |
Quantity B |
The area of Rectangle A |
The area of Rectangle B if its width is increased by more than 2 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: Rectangle A has twice the area of Rectangle B. The width o
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05 Apr 2018, 20:59
05 Apr 2018, 20:59
6
Expert Reply
This is a pretty tricky problem. The second line about the width of rectangle A isn't actually necessary, but it's very distracting because it seems important. All we need is the first sentence: rectangle A has twice the area of rectangle B.
If we double one of the dimensions of rectangle B, it'll be the same area as rectangle A. And if we more than double it, it'll be larger than rectangle A. But if you read carefully, quantity B says "the width is increased by more than 2." This is not more than double. This is adding more than 2 of something. But depending on how much we add, we may barely be increasing rectangle B or vastly increasing it. If we're adding 2.1 microns, or 2.1 miles, we'll get different answers, presumably. And "more than two" can also be interpreted as 2.01 or 600, since 600 also counts as "more than two." In short, you're meant to misread the question and think it said "increased by a factor of more than 2," in which case the answer is B. But since there is far too much leeway in "more than two," the answer is D.
If we double one of the dimensions of rectangle B, it'll be the same area as rectangle A. And if we more than double it, it'll be larger than rectangle A. But if you read carefully, quantity B says "the width is increased by more than 2." This is not more than double. This is adding more than 2 of something. But depending on how much we add, we may barely be increasing rectangle B or vastly increasing it. If we're adding 2.1 microns, or 2.1 miles, we'll get different answers, presumably. And "more than two" can also be interpreted as 2.01 or 600, since 600 also counts as "more than two." In short, you're meant to misread the question and think it said "increased by a factor of more than 2," in which case the answer is B. But since there is far too much leeway in "more than two," the answer is D.
General Discussion
Re: Rectangle A has twice the area of Rectangle B. The width o
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23 Apr 2018, 14:30
23 Apr 2018, 14:30
2
La * Wa = 2(Lb * Wb)
increase Wb by 3
La * Wa ? Lb * (Wb+3)
2(Lb*Wb) ? Lb*Wb +3Lb
Lb*Wb ? 3Lb
Wb ? 3
There is no way to tell if Wb is less than or greater than 3
So answer is D
increase Wb by 3
La * Wa ? Lb * (Wb+3)
2(Lb*Wb) ? Lb*Wb +3Lb
Lb*Wb ? 3Lb
Wb ? 3
There is no way to tell if Wb is less than or greater than 3
So answer is D
