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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
Re: If l and w represent the length and width, respectively, of
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02 Apr 2019, 15:40
I don’t think I understand how to derive that 2l + w = 40 is not right away a viable option. My initial inclination is to try to use algebra to get it into a 2(l+w) format, costing me precious time. Thoughts?
Re: If l and w represent the length and width, respectively, of
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03 Apr 2019, 01:23
montanhaf100 wrote:
I don’t think I understand how to derive that 2l + w = 40 is not right away a viable option. My initial inclination is to try to use algebra to get it into a 2(l+w) format, costing me precious time. Thoughts?
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hi montanhaf100 Just for the learning purpose, Can you show here how to use algebra to get it into a 2(l +w) format?
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84% (00:38) correct 
