GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2019, 05:06

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

In the figure, ABCD is a rectangle and points E, F, G and H are midpoi

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58428
In the figure, ABCD is a rectangle and points E, F, G and H are midpoi  [#permalink]

Show Tags

New post Updated on: 24 Jul 2019, 05:09
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

80% (01:16) correct 20% (02:04) wrong based on 15 sessions

HideShow timer Statistics

Image
In the figure, ABCD is a rectangle and points E, F, G and H are midpoints of its sides. What is the ratio of the area of the shaded region to the area of the un-shaded region in the rectangle?

(A) 1 : 1
(B) 1 : 2
(C) 2 : 1
(D) 1 : 3
(E) 3 : 1

Source: Nova GMAT
Difficulty Level: 600

Attachment:
2019-04-10_1121.png
2019-04-10_1121.png [ 27.2 KiB | Viewed 378 times ]

_________________

Originally posted by Bunuel on 10 Apr 2019, 00:21.
Last edited by SajjadAhmad on 24 Jul 2019, 05:09, edited 1 time in total.
Added Source.
Intern
Intern
User avatar
B
Joined: 03 Nov 2018
Posts: 32
Re: In the figure, ABCD is a rectangle and points E, F, G and H are midpoi  [#permalink]

Show Tags

New post 10 Apr 2019, 01:27
Since E, F, G and H are the midpoints of the sides, EFGH will always be a rhombus.
Area rhombus is diagonal 1 * diagonal 2 / 2, diagonal 1 is equal to 1 side of rectangle ABCD and diagonal 2 to the other side of rectangle ABCD.
This means the area of rhombus EFGH will always be half of the area of rectangle ABCD.
Therefore, the shaded area will also be half.
The ratios of the shaded area to the unshaded area (rhombus) will always be 1 : 1.
A)
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 5031
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: In the figure, ABCD is a rectangle and points E, F, G and H are midpoi  [#permalink]

Show Tags

New post 10 Apr 2019, 02:38
Bunuel wrote:
Image
In the figure, ABCD is a rectangle and points E, F, G and H are midpoints of its sides. What is the ratio of the area of the shaded region to the area of the un-shaded region in the rectangle?

(A) 1 : 1
(B) 1 : 2
(C) 2 : 1
(D) 1 : 3
(E) 3 : 1

Attachment:
2019-04-10_1121.png


let for rectangle l = 8 and b =6so area = 48
and shaded side gives 4 rectangles area = 1/2 *3*4 *4 = 24
area insided of un shaded part ; base 6 and height 4 ; we have 4 triangles of area total again 24
so ratio ; 24:24 ; 1:1
IMO A
GMAT Club Bot
Re: In the figure, ABCD is a rectangle and points E, F, G and H are midpoi   [#permalink] 10 Apr 2019, 02:38
Display posts from previous: Sort by

In the figure, ABCD is a rectangle and points E, F, G and H are midpoi

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





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