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27 Apr 2017, 23:56
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B
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Difficulty:
15%
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Question Stats:
92% (00:26) correct
8%
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If square WXYZ above has an area of 100, what is the length of diagonal XZ ?
A. 10
B. 10\(\sqrt{2}\)
C. 10\(\sqrt{3}\)
D. 100\(\sqrt{2}\)
E. 100\(\sqrt{3}\)
A. 10
B. 10\(\sqrt{2}\)
C. 10\(\sqrt{3}\)
D. 100\(\sqrt{2}\)
E. 100\(\sqrt{3}\)
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28 Apr 2017, 02:24
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Area = side^2 = 100
Side is 10
Diagonal of square is side * sqrt(2)
In this case its 10 * sqrt(2) (Option B)
Side is 10
Diagonal of square is side * sqrt(2)
In this case its 10 * sqrt(2) (Option B)
02 May 2017, 16:54
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SajjadAhmad
In determining the length of diagonal XZ, we may recall that the diagonal of a square is always equal to side√2.
Since the area of the square is 100, and area = side^2, the side of the square is equal to 10.
Thus, the diagonal = 10√2.
Answer: B
