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What is the perimeter, in meters, of a rectangular garden 6 meters....

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nalinnair
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What is the perimeter, in meters, of a rectangular garden 6 meters.... [#permalink] New post  26 May 2016, 21:27
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What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?

(A) 48
(B) 56
(C) 60
(D) 76
(E) 192
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adiagr
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Re: What is the perimeter, in meters, of a rectangular garden 6 meters.... [#permalink] New post  26 May 2016, 22:03
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Say Length of garden is L meters.

Then (L*6) = 16 * 12 [Given area is same. Area= L * B]

Therefore L works out to 32 meters.

Perimeter of Garden = 2* (32+6) = 76 meter.

Answer is D
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BrentGMATPrepNow
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Re: What is the perimeter, in meters, of a rectangular garden 6 meters.... [#permalink] New post  10 Mar 2020, 07:12
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nalinnair wrote:
What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?

(A) 48
(B) 56
(C) 60
(D) 76
(E) 192


Area of rectangle = (base)(height)

Given: (area rectangular garden 6 meters wide) = (area of rectangular playground 16 meters long and 12 meters wide)
Let x = height of rectangular garden

We can write: (6)(x) = (16)(12)
Divide both sides by 6 to get: x = (16)(2) = 32
So, the rectangular garden is 6 meters wide and 32 meters long

This means the perimeter = 6 + 32 + 6 + 32 = 76 meters

Answer: D

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Re: What is the perimeter, in meters, of a rectangular garden 6 meters.... [#permalink] New post  10 Mar 2020, 08:36
nalinnair wrote:
What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?

(A) 48
(B) 56
(C) 60
(D) 76
(E) 192


Length of the rectangular garden = 16*12/6 = 32 meters
Perimeter of the garden = 2(32 + 6) = 76 meters

IMO D
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ScottTargetTestPrep
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Re: What is the perimeter, in meters, of a rectangular garden 6 meters.... [#permalink] New post  13 Dec 2020, 06:19
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nalinnair wrote:
What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?

(A) 48
(B) 56
(C) 60
(D) 76
(E) 192

Solution:

The area of the rectangular playground 16 meters long and 12 meters wide is 16 x 12 = 192. Since this is also the area of the rectangular garden that is 6 meters wide, the length of the rectangular garden is 192/6 = 32 meters. Therefore, the perimeter of the garden is 32(2) + 6(2) = 64 + 12 = 76 meters.

Answer: D
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Re: What is the perimeter, in meters, of a rectangular garden 6 meters.... [#permalink] New post  16 Dec 2020, 11:12
Faster? IDK! =)

6L=16*12
6L=16*6*2
L=16*2

Perimeter=2L+2W
Perimeter=16*2*2+2*6
Perimeter=4*16+4*3
Perimeter=4(16+3)
Perimeter=4*19
Perimeter=4(20-1)
Perimeter=80-4=76
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Re: What is the perimeter, in meters, of a rectangular garden 6 meters.... [#permalink] New post  05 Mar 2023, 04:55
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