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

 It is currently 22 Feb 2019, 16:51

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
• ### FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# In the 7-inch square above, another square is inscribed. What fraction

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53066
In the 7-inch square above, another square is inscribed. What fraction  [#permalink]

### Show Tags

11 Oct 2018, 02:00
00:00

Difficulty:

25% (medium)

Question Stats:

77% (01:18) correct 23% (01:19) wrong based on 61 sessions

### HideShow timer Statistics

In the 7-inch square above, another square is inscribed. What fraction of the larger square is shaded?

(A) $$\frac{3}{12}$$

(B) $$\frac{24}{49}$$

(C) $$\frac{1}{2}$$

(D) $$\frac{25}{49}$$

(E) $$\frac{7}{12}$$

Attachment:

Capture (2).JPG [ 15.52 KiB | Viewed 527 times ]

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: In the 7-inch square above, another square is inscribed. What fraction  [#permalink]

### Show Tags

11 Oct 2018, 19:05
Bunuel wrote:

In the 7-inch square above, another square is inscribed. What fraction of the larger square is shaded?

(A) $$\frac{3}{12}$$

(B) $$\frac{24}{49}$$

(C) $$\frac{1}{2}$$

(D) $$\frac{25}{49}$$

(E) $$\frac{7}{12}$$

Attachment:
The attachment Capture (2).JPG is no longer available

So every corner makes a right angled triangle with sides 3-4-5...
And hypotenuse of this triangle is the side of inner square, so 5..

Area of shaded region = $$7^2-5^2=49-25=24$$
Total area =7^2=49

Shaded region as a fraction of total =$$\frac{24}{49}$$

B
Attachments

PicsArt_10-12-08.32.54.jpg [ 9.91 KiB | Viewed 412 times ]

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4972
Location: United States (CA)
Re: In the 7-inch square above, another square is inscribed. What fraction  [#permalink]

### Show Tags

13 Oct 2018, 17:50
Bunuel wrote:

In the 7-inch square above, another square is inscribed. What fraction of the larger square is shaded?

(A) $$\frac{3}{12}$$

(B) $$\frac{24}{49}$$

(C) $$\frac{1}{2}$$

(D) $$\frac{25}{49}$$

(E) $$\frac{7}{12}$$

Attachment:
Capture (2).JPG

The area of the larger square is 7^2 = 49. We see that each of the shaded regions is a right triangle that is a 3-4-5 right triangle. Thus, each of these right triangles has an area of ½ x 3 x 4 = 6, and the total area of the four triangles is 6 x 4 = 24. So the fraction of the larger square is shaded is 24/49.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: In the 7-inch square above, another square is inscribed. What fraction   [#permalink] 13 Oct 2018, 17:50
Display posts from previous: Sort by