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.
May 1212:00 PM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products.
May 1308:30 AM PDT
-09:30 AM PDT
In Episode 4 of our GMAT Ninja CR series, we tackle the most intimidating CR question type: Boldface & "Legalese" questions. If you've ever stared at an answer choice that reads, "The first is a consideration introduced to counter a position that...- May 14
08:30 AM PDT
-09:30 AM PDT
Most GMAT test-takers are intimidated by the hardest GMAT Verbal questions. In this session, Target Test Prep GMAT instructor Erika Tyler-John, a 100th percentile GMAT scorer, will show you how top scorers break down challenging Verbal questions..
12 Nov 2021, 07:42
Kudos
Bookmarks
Is the perimeter of a rectangle more than 60 cm ?
(1) The area of the rectangle is 226 cm^2.
(2) The length of a diagonal of the rectangle is 30 cm.
(1) The area of the rectangle is 226 cm^2.
(2) The length of a diagonal of the rectangle is 30 cm.
12 Nov 2021, 07:42
Kudos
Bookmarks
Official Solution:
Is the perimeter of a rectangle more than 60 cm ?
(1) The area of the rectangle is 226 cm^2.
Given \(ab = 226\).
Now, for rectangles with a fixed area, a square has the minimum perimeter. So, the minimum perimeter will occur when \(a=b\). In this case, we'd have \(a^2=226\).
\(a=15.something\) and thus the perimeter is \(4*15.something=60.something>60\). As even the minimum possible perimeter is more than 60 cm, then the actual perimeter, whatever it is, is also more than 60 cm. Sufficient.
(2) The length of a diagonal of the rectangle is 30 cm.
The diagonal, the length and the width of a rectangle form a triangle and in a triangle the length of any side must be smaller than the sum of the other two sides. So, \(a+b>30\) and thus \(perimeter=2(a + b) > 60\) Sufficient.
Answer: D
Is the perimeter of a rectangle more than 60 cm ?
(1) The area of the rectangle is 226 cm^2.
Given \(ab = 226\).
Now, for rectangles with a fixed area, a square has the minimum perimeter. So, the minimum perimeter will occur when \(a=b\). In this case, we'd have \(a^2=226\).
\(a=15.something\) and thus the perimeter is \(4*15.something=60.something>60\). As even the minimum possible perimeter is more than 60 cm, then the actual perimeter, whatever it is, is also more than 60 cm. Sufficient.
(2) The length of a diagonal of the rectangle is 30 cm.
The diagonal, the length and the width of a rectangle form a triangle and in a triangle the length of any side must be smaller than the sum of the other two sides. So, \(a+b>30\) and thus \(perimeter=2(a + b) > 60\) Sufficient.
Answer: D
