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# D01-35

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Intern
Joined: 12 Nov 2016
Posts: 13
Location: Nigeria
GMAT 1: 520 Q43 V27
GPA: 2.66

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25 Nov 2016, 07:24
This is like one of those tricky GMAT questions. I love it. Well done Bunuel
Intern
Joined: 21 Apr 2016
Posts: 2
GPA: 3.89

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20 Dec 2016, 10:13
Hello,

Why do we have to assume it is a circle, not a square or rectangle?
Director
Joined: 02 Sep 2016
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08 Jan 2017, 05:09
Not a geometry fan but the logic of choosing circle COULD BE that when we take all the shapes with approximately same area, circle would be enclosed easily as it is round without any edges.

I don't know how much this makes sense but this is what I think might be the reason.
Intern
Joined: 26 Dec 2016
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21 Jan 2017, 07:16
The question states that there is an area of 154 square meters and asks you to determine the minimum possible perimeter for this figure.
There is no statement whether the figure is a triangle, quadriliteral or circle.
You need to know the a circle is the figure, which has the biggest area for a given perimeter or if you have a given area the figure with the smallest perimeter is a circle.
Intern
Joined: 11 Sep 2016
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06 May 2017, 23:17
If circle has the minimum area than which geometry figure has the maximum area?
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Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38

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29 May 2017, 01:43
Hi Bunuel

A circle is the shape with the largest area for a given length of perimeter (has the highest area to length ratio when compared to other geometric figures such as triangles or rectangles).

Does this mean that the circle has minimum perimeter for a given area as compared to equilateral triangles or square/rectangles.

so can i write

A/P of Circle > A/P of other geometric figures

Also if we can classify other geometric figures in order

Please correct me if i am thinking too much
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Joined: 26 Oct 2017
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28 Oct 2017, 03:15
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. The question even did not mention the shape !! how can you approach
GMAT CLUB should imediately correct the questions and make it state clearly that the shape is circle
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Joined: 02 Sep 2009
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28 Oct 2017, 03:18
zx33788115 wrote:
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. The question even did not mention the shape !! how can you approach
GMAT CLUB should imediately correct the questions and make it state clearly that the shape is circle

The question is 100% correct.

The figure which has the minimum possible perimeter for a given area is a circle. This is a known mathematical property. Since a circle has the minimum possible perimeter for a given area, then in order to minimize the length of a rope it should enclose a circle.
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29 Oct 2017, 04:42
Bunuel wrote:
zx33788115 wrote:
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. The question even did not mention the shape !! how can you approach
GMAT CLUB should imediately correct the questions and make it state clearly that the shape is circle

The question is 100% correct.

The figure which has the minimum possible perimeter for a given area is a circle. This is a known mathematical property. Since a circle has the minimum possible perimeter for a given area, then in order to minimize the length of a rope it should enclose a circle.

Dear Bunuel,

I would like if there is a property for maximum perimeter for a given area?
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03 Dec 2017, 17:41
Bunuel niks18 chetan2u

Quote:
The figure which has the minimum possible perimeter for a given area is a circle. This is a known mathematical property. Since a circle has the minimum possible perimeter for a given area, then in order to minimize the length of a rope it should enclose a circle.

Can you please explain reasoning behind this? Is you line of thought based on squares of radii or sides?
Why did we not consider a square / rectangle?
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Intern
Joined: 19 Nov 2012
Posts: 20

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07 Feb 2018, 01:34
hello Bunuel

One quick question as there seems to be contradictory information:

For a given area, which figure has the less possible perimeter?
As per the question above, it's circle.
However, as per your own post on all information on triangles, it's equilateral triangle.
I cant add the link to your own post here as I'm a new member and there seems to be some restriction with posting links.

Please explain. If both are applicable in different scenarios, then do share these scenarios.

Thanks.
Math Expert
Joined: 02 Sep 2009
Posts: 48067

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07 Feb 2018, 01:52
sanjay1810 wrote:
hello Bunuel

One quick question as there seems to be contradictory information:

For a given area, which figure has the less possible perimeter?
As per the question above, it's circle.
However, as per your own post on all information on triangles, it's equilateral triangle.
I cant add the link to your own post here as I'm a new member and there seems to be some restriction with posting links.

Please explain. If both are applicable in different scenarios, then do share these scenarios.

Thanks.

For triangles it's equilateral triangle but for any shape it's circle.
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23 May 2018, 18:59
Bunuel wrote:
sanjay1810 wrote:
hello Bunuel

One quick question as there seems to be contradictory information:

For a given area, which figure has the less possible perimeter?
As per the question above, it's circle.
However, as per your own post on all information on triangles, it's equilateral triangle.
I cant add the link to your own post here as I'm a new member and there seems to be some restriction with posting links.

Please explain. If both are applicable in different scenarios, then do share these scenarios.

Thanks.

For triangles it's equilateral triangle but for any shape it's circle.

Hi - per MGMAT guide, it's the square that has the largest area? Could someone help reconcile?
Math Expert
Joined: 02 Sep 2009
Posts: 48067

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23 May 2018, 22:14
Bunuel wrote:
sanjay1810 wrote:
hello Bunuel

One quick question as there seems to be contradictory information:

For a given area, which figure has the less possible perimeter?
As per the question above, it's circle.
However, as per your own post on all information on triangles, it's equilateral triangle.
I cant add the link to your own post here as I'm a new member and there seems to be some restriction with posting links.

Please explain. If both are applicable in different scenarios, then do share these scenarios.

Thanks.

For triangles it's equilateral triangle but for any shape it's circle.

Hi - per MGMAT guide, it's the square that has the largest area? Could someone help reconcile?

1. For a triangle, the minimum possible perimeter for a given area is an equilateral triangle.
2. For a quadrilateral, the minimum possible perimeter for a given area is a square.
3. For any 2-D shape, so if there is no restriction on the shape, the minimum possible perimeter for a given area is a circle.
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Joined: 02 Mar 2018
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Schools: IIMA , IIMA PGPX"20
GMAT 1: 640 Q51 V26
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26 Jun 2018, 23:07
Bunuel, Can perimeter of a rectangural not be more than a circle. For example in this problem can perimeter not be 2(77*2)=158.

Thanks!
Intern
Joined: 22 Jan 2018
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04 Jul 2018, 23:49
1
Hi, is there an explanation as to why a circle is taken instead of a square?
Math Expert
Joined: 02 Sep 2009
Posts: 48067

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05 Jul 2018, 00:00
1
kavyathach wrote:
Hi, is there an explanation as to why a circle is taken instead of a square?

Because a circle has the minimum possible perimeter for a given area. Foe example, if an area of a 2-D figure is say 10 unit^2, then the shape which has the minimum perimeter for that area is a circle. All other shapes with the area of 10 units^2 will have greater perimeter.
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Joined: 17 Apr 2018
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05 Aug 2018, 07:06
I think the question is unclear. It should at least mention that it is the circular area we are supposed to consider.
Intern
Joined: 03 Sep 2017
Posts: 9

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12 Aug 2018, 05:18
Bunuel: Doesn't a square have the least perimeter among all quadrilaterals? Why does this question choose a circle in order to minimize the perimeter?
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Joined: 02 Sep 2009
Posts: 48067

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12 Aug 2018, 11:43
nrisbood wrote:
Bunuel: Doesn't a square have the least perimeter among all quadrilaterals? Why does this question choose a circle in order to minimize the perimeter?

Have you read this post: https://gmatclub.com/forum/d01-183496-20.html#p2066045 ?
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# D01-35

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