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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 playgrou

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by VJesus12 » Fri Dec 10, 2021 8:32 am

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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

Answer: D

Source: Official Guide
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Re: What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular play

by Brent@GMATPrepNow » Fri Dec 10, 2021 1:58 pm
VJesus12 wrote: ↑
Fri Dec 10, 2021 8:32 am
 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

Answer: D

Source: Official Guide
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

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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