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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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Thu Dec 03, 2020 2:41 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

Answer: D
Source: official guide

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Source: Beat The GMAT — Problem Solving | Thu Dec 03, 2020 2:41 pm

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8190; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

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

by Scott@TargetTestPrep » Tue Dec 08, 2020 1:00 pm

BTGModeratorVI wrote: ↑
Thu Dec 03, 2020 2:41 pm
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

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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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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 » Wed Dec 09, 2020 7:11 am

BTGModeratorVI wrote: ↑
Thu Dec 03, 2020 2:41 pm
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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