Last visit was: 15 Dec 2024, 04:39 It is currently 15 Dec 2024, 04:39
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Dec 2024
Posts: 97,883
Own Kudos:
686,006
 []
Given Kudos: 88,273
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,883
Kudos: 686,006
 []
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
User avatar
PKN
Joined: 01 Oct 2017
Last visit: 20 Apr 2023
Posts: 821
Own Kudos:
Given Kudos: 41
Status:Learning stage
WE:Supply Chain Management (Energy)
Posts: 821
Kudos: 1,435
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
garcmillan
Joined: 24 Sep 2015
Last visit: 15 Sep 2020
Posts: 71
Own Kudos:
Given Kudos: 79
Location: Spain
Concentration: Strategy, Entrepreneurship
GPA: 3.9
WE:Management Consulting (Consulting)
Posts: 71
Kudos: 105
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 02 Oct 2024
Posts: 6,014
Own Kudos:
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 6,014
Kudos: 4,952
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Carl decided to fence in his rectangular garden. He bought 20 fence posts, placed one on each of the four corners, and spaced out the rest evenly along the edges of the garden, leaving exactly 4 yards between neighboring posts. The longer side of his garden, including the corners, has twice as many posts as the shorter side, including the corners. What is the area, in square yards, of Carl’s garden?

(A) 256

(B) 336

(C) 384

(D) 448

(E) 512

Good Question, the question tests us the arrangement of 16 posts after arrangement of the 4 posts...
Attachment:
IMG_20190816_200933.jpg
IMG_20190816_200933.jpg [ 5.58 MiB | Viewed 1948 times ]

We must keep the conditions in mind -

1. The longer side of his garden, including the corners, has twice as many posts as the shorter side, including the corners.
2. After placing the 4 posts there are 16 posts
3. Distance between each post is 4 yards

Now, afrom the above figure breeadth will be 4* 3 = 12 and Length will be 7*4 =28

Thus, Total area will be 28*12 = 336 , Answer must be (B)
User avatar
Kinshook
User avatar
GMAT Club Legend
Joined: 03 Jun 2019
Last visit: 15 Dec 2024
Posts: 5,425
Own Kudos:
Given Kudos: 161
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
GMAT 1: 690 Q50 V34
Posts: 5,425
Kudos: 4,599
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Carl decided to fence in his rectangular garden. He bought 20 fence posts, placed one on each of the four corners, and spaced out the rest evenly along the edges of the garden, leaving exactly 4 yards between neighboring posts. The longer side of his garden, including the corners, has twice as many posts as the shorter side, including the corners. What is the area, in square yards, of Carl’s garden?

(A) 256

(B) 336

(C) 384

(D) 448

(E) 512

Given: Carl decided to fence in his rectangular garden. He bought 20 fence posts, placed one on each of the four corners, and spaced out the rest evenly along the edges of the garden, leaving exactly 4 yards between neighboring posts. The longer side of his garden, including the corners, has twice as many posts as the shorter side, including the corners.

Asked: What is the area, in square yards, of Carl’s garden?

Let long side has l posts, excluding corners
and Let short side has s posts, excluding corners

He bought 20 fence posts, placed one on each of the four corners, and spaced out the rest evenly along the edges of the garden, leaving exactly 4 yards between neighboring posts. The longer side of his garden, including the corners, has twice as many posts as the shorter side, including the corners.

l +2 = 2 (s +2) = 2s + 4
l = 2s + 2

2l + 2s + 4 = 20
l + s = 8
3s + 2 = 8
s =2
l = 6
There are (l+1) and (s+1) 4 yards spaces on longer and shorter sides respectively

The area, in square yards, of Carl’s garden = (6+1)(2+1)*4*4 = 21 * 16 = 336 square yards

IMO B
Moderator:
Math Expert
97883 posts