Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 19:43

### 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

# M70-17

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56277

### Show Tags

03 Sep 2018, 04:37
00:00

Difficulty:

25% (medium)

Question Stats:

100% (01:58) correct 0% (00:00) wrong based on 6 sessions

### HideShow timer Statistics

In rectangle ABCD above, $$AE = \frac{1}{3}AD$$, $$4×AG = GB$$. The area of triangle AEF is what fraction of the area of the area of rectangle FHCI?

A. $$\frac{1}{30}$$
B. $$\frac{1}{16}$$
C. $$\frac{1}{24}$$
D. $$\frac{5}{64}$$
E. $$\frac{1}{32}$$

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 56277

### Show Tags

03 Sep 2018, 04:37
Official Solution:

In rectangle ABCD above, $$AE = \frac{1}{3}AD$$, $$4×AG = GB$$. The area of triangle AEF is what fraction of the area of the area of rectangle FHCI?

A. $$\frac{1}{30}$$
B. $$\frac{1}{16}$$
C. $$\frac{1}{24}$$
D. $$\frac{5}{64}$$
E. $$\frac{1}{32}$$

We’ll go for ALTERNATIVE because all we have is ratio.

We’ll assign easy numbers to AE and AG: AE = 1, AG = 2. This makes AEF’s area $$\frac{1×2}{2}=1$$. This means GB = 8 and ED = AD – AE = 3 – 1 = 2. Through symmetry, FI = ED = 2 and FH = GB = 4, so that FHCI = 8 × 2 = 16. Thus, $$\frac{AEF}{FHCI}=\frac{1}{16}$$.

_________________
Intern
Joined: 23 Feb 2018
Posts: 13

### Show Tags

07 Mar 2019, 06:24
_________________
Patience and hardwork will pay! Have faith in yourself.
Re: M70-17   [#permalink] 07 Mar 2019, 06:24
Display posts from previous: Sort by

# M70-17

Moderators: chetan2u, Bunuel