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A certain rectangular window is twice as long as it is wide. If its perimeter is 10 feet, then its dimensions in feet are

(A) 3/2 by 7/2 (B) 5/3 by 10/3 (C) 2 by 4 (D) 3 by 6 (E) 10/3 by 20/3

Given that P = 2l + 2w = 10, where l and w are the length and width in feet, respectively. Since, also given that l = 2w, then we have that 2l + l = 10 --> l = 10/3 --> w = l/2 = 10/6 = 5/3.

Re: A certain rectangular window is twice as long as it is wide [#permalink]

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25 Dec 2012, 13:01

megafan wrote:

A certain rectangular window is twice as long as it is wide. If its perimeter is 10 feet, then its dimensions in feet are

(A) \(\frac{3}{2}\) by \(\frac{7}{2}\)

(B) \(\frac{5}{3}\) by \(\frac{10}{3}\)

(C) \(2\) by \(4\)

(D) \(3\) by \(6\)

(E) \(\frac{10}{3}\) by \(\frac{20}{3}\)

Relatively easy question, except for the confusing term - "twice as long as it is wide", which I happen to screw up over. Did someone happen to compile a list of these confusing statements in word problems? If so, please do share, it would be immensely helpful for me, and I am sure for other members as well.

Ya its quite easy....

twice as long as it is wide means : l=2w

Given p=10 2(l+w)=10 l+w=5 2w+w=5 w=5/3 and l = 10/3

If u feel difficult in understanding "twice as long as it is wide", since length should be always greater than width and here it is twice l=2w
_________________

GMAT - Practice, Patience, Persistence Kudos if u like

A certain rectangular window is twice as long as it is wide. If [#permalink]

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04 Apr 2013, 15:09

bmwhype2 wrote:

A certain rectangular window is twice as long as it is wide. If its perimeter is 10 feet, then its dimensions in feet are (A) 3/2 by 7/2 (B) 5/3 by 10/3 (C) 2 by 4 (D) 3 by 6 (E) 10/3 by 20/3

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30 May 2014, 11:04

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Many Test Takers would approach this with a combination of algebra and geometry rules, which is fine - the math is easy enough to do. On Test Day though, you have 2 goals when dealing with a question:

1) Get it correct, if possible. 2) Answer it in the fastest way possible.

Since the answer choices ARE numbers, and the prompt describes some rather specific facts, you can use the answers to your advantage and TEST THE ANSWERS.

We're told 2 things about a rectangle: 1) It's length is TWICE it's width. 2) It's perimeter is 10

We're asked for the dimensions of the rectangle.

Looking at the answer choices, there are some really easy answers to knock out....

Answer C: 2 by 4......this perimeter would = 12, not 10. ELIMINATE C. Answer D: 3 by 6......this perimeter would = 18, not 10. ELIMINATE D. Answer E: 10/3 by 20/3......this perimeter would be > 18, not 10. ELIMINATE E.

With the remaining 2 answers, only 1 of them has a length that is TWICE the width....

Answer A: 3/2 and 7/2.....7/2 is NOT TWICE 3/2. Eliminate A.

Re: A certain rectangular window is twice as long as it is wide. [#permalink]

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27 Feb 2016, 02:36

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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