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04 May 2020, 05:19
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
91% (01:48) correct
9%
(00:42)
wrong
based on 22
sessions
History
Date
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A regular hexagon has a side length of 8. The longest internal distance between any two points of the hexagon is twice as long as the length of a side. What is the area of the hexagon?
A. \(72 \sqrt{2}\)
B. \(144\)
C. \(48 \sqrt{3}\)
D. \(96 \sqrt{3}\)
E. \(196\)
A. \(72 \sqrt{2}\)
B. \(144\)
C. \(48 \sqrt{3}\)
D. \(96 \sqrt{3}\)
E. \(196\)
04 May 2020, 05:25
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Bunuel
Answer: Option D
Please find the explanation attached here.
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Screenshot 2020-05-04 at 5.55.14 PM.png [ 821.36 KiB | Viewed 1308 times ]
04 May 2020, 12:16
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Bunuel
Solution
- • We know that the diagonals of a regular hexagon divide it internally in 6 equilateral tringles (as shown in the below diagram).
• So area of the hexagon = 6*area of one equilateral triangle(Say triangle AOF) \(= 6*\frac{\sqrt{3} }{ 4 }*8^2 = 96\sqrt{3}\)
