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If the Longfellow Playground is rectangular, what is its width?

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If the Longfellow Playground is rectangular, what is its width?  [#permalink]

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New post Updated on: 12 Dec 2018, 04:09
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Project DS Butler: Day 37: Data Sufficiency (DS74)


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If the Longfellow Playground is rectangular, what is its width?

(1) The ratio of its length to its width is 7 to 2.
(2) The perimeter of the playground is 396 meters.


Kudos for a correct solution.

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Originally posted by Bunuel on 09 Dec 2014, 06:10.
Last edited by gmatbusters on 12 Dec 2018, 04:09, edited 1 time in total.
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Re: If the Longfellow Playground is rectangular, what is its width?  [#permalink]

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New post 09 Dec 2014, 06:19
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Bunuel wrote:

Tough and Tricky questions: Geometry.



If the Longfellow Playground is rectangular, what is its width?

(1) The ratio of its length to its width is 7 to 2.
(2) The perimeter of the playground is 396 meters.


Kudos for a correct solution.



I would go with C

A:- Provides the ratio of length to breadth as 7x : 2x

B:- 2(L +B)=396 .... (L+B)=198

C:- Join A and B, Length = 7/9*198 = 154 ..... Breadth = 44
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Re: If the Longfellow Playground is rectangular, what is its width?  [#permalink]

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New post 09 Dec 2014, 09:33
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If the Longfellow Playground is rectangular, what is its width?

(1) The ratio of its length to its width is 7 to 2. Insufficient--length and width could be any two numbers satisfying this ratio.
(2) The perimeter of the playground is 396 meters. Insufficient--we don't know how the length and width are related.

Choice C--we can combine our knowledge of how the length and width are related with the perimeter to determine the dimensions.
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Re: If the Longfellow Playground is rectangular, what is its width?  [#permalink]

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New post 12 Dec 2018, 04:08
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Re: If the Longfellow Playground is rectangular, what is its width?  [#permalink]

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New post 25 Dec 2018, 11:19
Bunuel wrote:

Project DS Butler: Day 37: Data Sufficiency (DS74)


For DS butler Questions Click Here


If the Longfellow Playground is rectangular, what is its width?

(1) The ratio of its length to its width is 7 to 2.
(2) The perimeter of the playground is 396 meters.


Kudos for a correct solution.


Statement 1: Insuff. All we know is that the ratio is 7:2. This means the length could be 7, 14, 21, 28.

Statement 2: Insuff. The length could be 150 and the width could be 48 OR length could be 100 and width could be 98.

Combining the two we know that because the ratio is 7:2 we can find the value for length and width.

7x + 7x + 2x + 2x = 196 -> 196/18 = 11. Width is thus 22
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Re: If the Longfellow Playground is rectangular, what is its width?  [#permalink]

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New post 25 Dec 2018, 21:44
Obviously it is C!

The perimeter will tell the total value of length and the width and the ratio will tells us the answer.

2 * (7x + 2x) = 396

we can then find x and then multiply it by 2 to find the answer
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Re: If the Longfellow Playground is rectangular, what is its width? &nbs [#permalink] 25 Dec 2018, 21:44
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