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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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

by Gmat_mission » Sun May 31, 2020 1:45 pm

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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

[spoiler]OA=D[/spoiler]

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Source: Beat The GMAT — Problem Solving | Sun May 31, 2020 1:45 pm

JamesHammel: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Sun May 31, 2020 4:19 pm

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

by JamesHammel » Sun May 31, 2020 4:49 pm

The area of triangle 2 (A2) = 16 * 12 = 192

Because both triangles have the same area we can divide A2 by the known side of triangle 1.
16 * 12 / 6 = 32

Now we have both lengths we simply add them.
6+6+32+32 = 76 (D)

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