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If l and w represent the length and width, respectively, of the rectangle above, what is the perimeter?
(1) 2l + w = 40 (2) l + w = 25
Target question:What is the perimeter? This is a great candidate for REPHRASING the target question.
Aside: We have a free video with tips on rephrasing the target question (see below)
If L and W represent the rectangle's length and width, then the perimeter = 2L + 2W. So, we can REPHRASE the target question as...
REPHRASED target question:What is the value of 2L + 2W?
Statement 1: 2L + W = 40 This statement does not FEEL sufficient to answer the rephrased target question. So, I'm going to PLUG IN numbers. There are several values of L and W that satisfy statement 1. Here are two: Case a: L = 5 and W = 30, in which case 2L + 2W = 70 Case b: L = 10 and W = 20, in which case 2L + 2W = 60 Since we cannot answer the REPHRASED target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: L + W = 25 If we take this equation and multiply both sides by 2, we get: 2L + 2W = 50 PERFECT - we have answered the REPHRASED target question! Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers, Brent
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Re: If l and w represent the length and width, respectively, of &nbs
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19 Apr 2018, 15:02
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83% (00:30) correct 
