Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
27 Sep 2017, 04:47
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
94% (01:14) correct
6%
(01:08)
wrong
based on 47
sessions
History
Date
Time
Result
Not Attempted Yet
The figure above is formed by two overlapping squares, each having sides of 6 centimeters in length. If P and Q are the midpoints of the intersecting sides, what is the area, in square centimeters, of the enclosed region?
(A) 72
(B) 63
(C) 60
(D) 54
(E) 45
Attachment:
2017-09-27_1107.png [ 2.17 KiB | Viewed 12080 times ]
27 Sep 2017, 07:17
Kudos
Bookmarks
Bunuel
Attachment:
squaresoverlap.png [ 13.32 KiB | Viewed 10719 times ]
Each square has a side of length 6 cm.
P and Q are midpoints.
Thus the sides of the squares are bisected.
In Figure 1, short sides of overlap = \(\frac{6}{2}\)= 3\(cm\)
The area of each square is (6 * 6) = 36 \(cm^2\)
The area of the overlap is (3 * 3) = 9 \(cm^2\)
Area of enclosed region in square centimeters?
Square + Square - Overlap
36 + 36 - 9 = 63
Method II - Divide region into areas. Find and add the areas of each region
See Figure 2: outline different interior areas of the enclosed figure
P and Q , being midpoints, bisect each side of 6 cm into 3 cm each
The short sides of the interior areas are 3 cm. The long sides are 6 cm
Upper left corner, square's area: (6 * 6) = 36 \(cm^2\)
Area of small square: (3*3) = 9 \(cm^2\)
Bottom rectangle's area: (3*6) = 18 \(cm^2\)
Area of enclosed region in square centimeters?
Add regions' areas
36 + 9 + 18 = 63
ANSWER B
27 Sep 2017, 07:26
Kudos
Bookmarks
The figure above is formed by two overlapping squares, each having sides of 6 centimeters in length. If P and Q are the midpoints of the intersecting sides, what is the area, in square centimeters, of the enclosed region?
P and Q are midpoints.
So here 2 squares overlap at the 1/4 part of each square.
So Total Area = Area of each square - Common area = 2* Area of square - 1/4 part of square
= 2*(6*6) - 1/4(6*6) = 72-9 = 63
Or we can say Area of overlapped part = square of side 3 => Area = 3*3 =9
So area of given figuer = Area of each square - Common area = 2*(6*6) -9 = 63
Answer: B
P and Q are midpoints.
So here 2 squares overlap at the 1/4 part of each square.
So Total Area = Area of each square - Common area = 2* Area of square - 1/4 part of square
= 2*(6*6) - 1/4(6*6) = 72-9 = 63
Or we can say Area of overlapped part = square of side 3 => Area = 3*3 =9
So area of given figuer = Area of each square - Common area = 2*(6*6) -9 = 63
Answer: B
Attachments
2 sqaures.docx [13.93 KiB]
Downloaded 107 times
