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..
20 Jun 2015, 11:19
Kudos
Bookmarks
What is the area of a quadrilateral with a perimeter of 24 centimeters?
(1) The quadrilateral is formed by combining two isosceles right triangles.
(2) All angles are of equal measure and the diagonals are perpendicular of each other.
(1) The quadrilateral is formed by combining two isosceles right triangles.
(2) All angles are of equal measure and the diagonals are perpendicular of each other.
20 Jun 2015, 11:19
Kudos
Bookmarks
Official Solution:
What is the area of a quadrilateral with a perimeter of 24 centimeters?
(1) The quadrilateral is formed by combining two isosceles right triangles.
It's easy to fall into the trap and consider only the case when the two isosceles right triangles give a square (figure 1) but there are other cases possible, for example, when two isosceles right triangles give a parallelogram (figure 2):
So, this statement is not sufficient.
(2) All angles are of equal measure and the diagonals are perpendicular of each other.
The sum of interior angles of a quadrilateral is 360°. Thus, if all angles are of equal measure, then each angle must be 90°. So, we have a rectangle, with the diagonals which are perpendicular of each other. So, we have a square. Since the perimeter is 24, then \(4x = 24\). We can find \(x\), hence we can find the area. Sufficient.
Answer: B
What is the area of a quadrilateral with a perimeter of 24 centimeters?
(1) The quadrilateral is formed by combining two isosceles right triangles.
It's easy to fall into the trap and consider only the case when the two isosceles right triangles give a square (figure 1) but there are other cases possible, for example, when two isosceles right triangles give a parallelogram (figure 2):
So, this statement is not sufficient.
(2) All angles are of equal measure and the diagonals are perpendicular of each other.
The sum of interior angles of a quadrilateral is 360°. Thus, if all angles are of equal measure, then each angle must be 90°. So, we have a rectangle, with the diagonals which are perpendicular of each other. So, we have a square. Since the perimeter is 24, then \(4x = 24\). We can find \(x\), hence we can find the area. Sufficient.
Answer: B
20 Jun 2023, 07:30
Kudos
Bookmarks
I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
