It is currently 21 Nov 2017, 01:24

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the number of squares of perimeter 36 into which a rectangle

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42278

Kudos [?]: 132880 [0], given: 12390

What is the number of squares of perimeter 36 into which a rectangle [#permalink]

Show Tags

New post 22 Sep 2017, 00:33
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

80% (01:03) correct 20% (00:23) wrong based on 25 sessions

HideShow timer Statistics

What is the number of squares of perimeter 36 into which a rectangle with width 36 and length 72 can be partitioned?

(A) 2
(B) 4
(C) 8
(D) 32
(E) 72
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132880 [0], given: 12390

Senior Manager
Senior Manager
User avatar
G
Joined: 02 Jul 2017
Posts: 269

Kudos [?]: 85 [0], given: 65

GMAT 1: 730 Q50 V38
GMAT ToolKit User CAT Tests
Re: What is the number of squares of perimeter 36 into which a rectangle [#permalink]

Show Tags

New post 22 Sep 2017, 05:42
What is the number of squares of perimeter 36 into which a rectangle with width 36 and length 72 can be partitioned?

Square perimeter = 36 => each side = 9
Rectangle measurement = 36 * 72

1st method ->
no. of square that will fit in length of rectangle = length of rectangle/ side of square = 72/9 =8
no. of square that will fit in breadth of rectangle = breadth of rectangle/ side of square = 36/9 =4

Total square = 8*4 = 32

2nd method
Area of square = 9*9 = 81
Area of rectangle = 36*72

No. of squares that can fit in rectangle = (36*72)/(9*9) = 32

Answer: D

Kudos [?]: 85 [0], given: 65

Director
Director
avatar
P
Joined: 22 May 2016
Posts: 990

Kudos [?]: 344 [0], given: 593

What is the number of squares of perimeter 36 into which a rectangle [#permalink]

Show Tags

New post 22 Sep 2017, 06:55
Bunuel wrote:
What is the number of squares of perimeter 36 into which a rectangle with width 36 and length 72 can be partitioned?

(A) 2
(B) 4
(C) 8
(D) 32
(E) 72

Attachment:
squaresinrectangle.png
squaresinrectangle.png [ 10.15 KiB | Viewed 238 times ]

To find the number of squares with perimeter 36 into which a rectangle with width 36 and length 72 can be partitioned:

Squares with perimeter of 36 have side length 9

1. Sketch
---a rectangle with length 72 and width 36
---a few squares with side length 9 adjacent to one another, a few going across, a couple going down

It soon becomes evident (no need to draw the rest):
With 9 as each square's side length, 8 squares will fit inside the rectangle's length and 4 will fit inside its height, 8 * 4 = total 32

OR

2. Divide rectangle side lengths by square side lengths, then multiply what are essentially columns and rows

Rectangle length 72/9 = 8 squares on long side
Rectangle width 36/9 = 4 squares on short side
8 * 4 = 32 squares will fit into a partitioned rectangle

ANSWER D

Kudos [?]: 344 [0], given: 593

What is the number of squares of perimeter 36 into which a rectangle   [#permalink] 22 Sep 2017, 06:55
Display posts from previous: Sort by

What is the number of squares of perimeter 36 into which a rectangle

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.