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# Rectangular garden Alpha and circular pond Beta have equal area. If

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Intern
Joined: 20 May 2017
Posts: 18
Rectangular garden Alpha and circular pond Beta have equal area. If  [#permalink]

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Updated on: 26 May 2017, 05:03
00:00

Difficulty:

5% (low)

Question Stats:

97% (00:55) correct 3% (00:30) wrong based on 47 sessions

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Rectangular garden Alpha and circular pond Beta have equal area. If garden Alpha is 9 meter by 6 meters, what is the radius of pond Beta?

A) 54π
B) 54/π
C) √(54/π)
D) √(27/π)
E) 27π

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Originally posted by GMATwizApp on 26 May 2017, 02:37.
Last edited by Bunuel on 26 May 2017, 05:03, edited 1 time in total.
Renamed the topic.
Intern
Status: GMAT tutor
Joined: 20 Apr 2017
Posts: 20
GMAT 1: 770 Q49 V47
Re: Rectangular garden Alpha and circular pond Beta have equal area. If  [#permalink]

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26 May 2017, 05:01
GMATwizApp wrote:
Rectangular garden Alpha and circular pond Beta have equal area. If garden Alpha is 9 meter by 6 meters, what is the radius of pond Beta?

A) 54π
B) 54/π
C) √(54/π)
D) √(27/π)
E) 27π

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Assume π=3

Since the area of the garden is 9*6 and π=3 then the radius must be around √18
(A) is out.
(B) is 54/3 = 18 but that's not √18
(C) is what I'm looking for. I'll pick that.
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Rectangular garden Alpha and circular pond Beta have equal area. If  [#permalink]

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26 May 2017, 05:40
GMATwizApp wrote:
Rectangular garden Alpha and circular pond Beta have equal area. If garden Alpha is 9 meter by 6 meters, what is the radius of pond Beta?

A) 54π
B) 54/π
C) √(54/π)
D) √(27/π)
E) 27π

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Area of rectangular garden A is L * W = 54

Area of circular pond B = π*r^2

Areas are equal

54 = π*r^2

54/π = r^2

√(54/π) = r
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Re: Rectangular garden Alpha and circular pond Beta have equal area. If  [#permalink]

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07 May 2018, 10:05
GMATwizApp wrote:
Rectangular garden Alpha and circular pond Beta have equal area. If garden Alpha is 9 meter by 6 meters, what is the radius of pond Beta?

A) 54π
B) 54/π
C) √(54/π)
D) √(27/π)
E) 27π

The area of Alpha is 9 x 6 = 54. So we use the equation for the area of a circle to determine the radius, r, of Beta:

54 = πr^2

54/π = r^2

√(54/π) = r

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Re: Rectangular garden Alpha and circular pond Beta have equal area. If &nbs [#permalink] 07 May 2018, 10:05
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