GRE Prep 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.
In the figure above, what is the area of square ABCD?
[#permalink]
05 Mar 2018, 02:37
05 Mar 2018, 02:37
1
00:00
Question Stats:
60% (00:32) correct
40% (00:25) wrong based on 15 sessions
Hide Show timer Statistics
In the figure, what is the area of square ABCD?
A)64
B)32√2
C)64√2
D)128
E)128√2
A)64
B)32√2
C)64√2
D)128
E)128√2
Attachments
triangle with square.jpg [ 3.72 KiB | Viewed 5411 times ]
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
Given Kudos: 0
Re: In the figure above, what is the area of square ABCD?
[#permalink]
05 Mar 2018, 10:33
05 Mar 2018, 10:33
1
Expert Reply
We need to find the side lengths of the square. We can see that the triangle is a right isosceles, since it has a right angle and the two legs are the same length. Thus, the side ratios are 1:1:√2. Since the sides are 8, we know that the hypotenuse must be 8√2, and therefore so are the sides of the square. If we square the side length we get
8√2x8√2 = 128
so the answer is D.
8√2x8√2 = 128
so the answer is D.
gmatclubot
Re: In the figure above, what is the area of square ABCD? [#permalink]
05 Mar 2018, 10:33
Moderators:
