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

 It is currently 22 Oct 2019, 04:16

### 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

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

# In the figure, the ratio of the area of parallelogram ABCD to the area

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58428
In the figure, the ratio of the area of parallelogram ABCD to the area  [#permalink]

### Show Tags

Updated on: 24 Jul 2019, 05:14
00:00

Difficulty:

55% (hard)

Question Stats:

67% (02:47) correct 33% (02:19) wrong based on 33 sessions

### HideShow timer Statistics

In the figure, the ratio of the area of parallelogram ABCD to the area of rectangle AECF is 5 : 3. What is the area of the rectangle AECF ?

(A) 18
(B) 24
(C) 25
(D) 50
(E) 54

Source: Nova GMAT
Difficulty Level: 700

Attachment:

2019-04-10_1139.png [ 14.88 KiB | Viewed 457 times ]

_________________

Originally posted by Bunuel on 10 Apr 2019, 00:40.
Last edited by SajjadAhmad on 24 Jul 2019, 05:14, edited 2 times in total.
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5031
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In the figure, the ratio of the area of parallelogram ABCD to the area  [#permalink]

### Show Tags

Updated on: 10 Apr 2019, 09:26
1
Bunuel wrote:

In the figure, the ratio of the area of parallelogram ABCD to the area of rectangle AECF is 5 : 3. What is the area of the rectangle AECF ?

(A) 18
(B) 24
(C) 25
(D) 50
(E) 54

Attachment:
2019-04-10_1139.png

given area of llgram / area of rectangle = 5/3

given area of llgram 10* AF and area of rectangle = fc * af
ratio
10* af/fc*af = 5/3
fc= 6
so df = 4
and af = 25-16 ; 9 = 3
so area of rectangle = 6*3 = 18
IMO A

Originally posted by Archit3110 on 10 Apr 2019, 03:31.
Last edited by Archit3110 on 10 Apr 2019, 09:26, edited 1 time in total.
Senior Manager
Joined: 25 Feb 2019
Posts: 336
Re: In the figure, the ratio of the area of parallelogram ABCD to the area  [#permalink]

### Show Tags

10 Apr 2019, 09:11
IMO A

Area of Parallogm = AF * 10
area of rectangle = AF* FC

now
from the given condition
(AF*10)/(AF*FC) = 5/3

So 10/FC = 5/3

So FC = 6
DC = 4

AF ^2 = 25 - 16 =9

So AF = 3

SO Area of rectangle = 3 * 6 = 18

Re: In the figure, the ratio of the area of parallelogram ABCD to the area   [#permalink] 10 Apr 2019, 09:11
Display posts from previous: Sort by