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In the figure above, what is the area of square ABCD?
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05 Mar 2018, 02:37
05 Mar 2018, 02:37
1
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Question Stats:
60% (00:32) correct
40% (00:25) wrong based on 15 sessions
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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
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Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
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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
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