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What is the area of a regular six-sided figure with side len
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28 Apr 2020, 09:00
28 Apr 2020, 09:00
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Question Stats:
82% (01:38) correct
17% (00:48) wrong based on 17 sessions
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What is the area of a regular six-sided figure with side length 8 ?
A. \(64\)
B. \(64 \sqrt{3}\)
C. \(78\)
D. \(78 \sqrt{3}\)
E. \(96 \sqrt{3}\)
Kudos for the right answer and explanation
A. \(64\)
B. \(64 \sqrt{3}\)
C. \(78\)
D. \(78 \sqrt{3}\)
E. \(96 \sqrt{3}\)
Kudos for the right answer and explanation
Re: What is the area of a regular six-sided figure with side len
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28 Apr 2020, 13:17
28 Apr 2020, 13:17
2
Regular six-sided figure means it is a regular hexagon. Now, a hexagon is comprised of 6 equilateral triangles.
Area of an equilateral triangle = \(\frac{rt 3}{4} \times side^2\)
side = 8.
Area of hexagon = \(6 \times \frac{ rt 3}{4} \times side^2\)
\(= 6 \times \frac{ rt3}{4} \times 8^2\)
\(= 6 \times \frac{ rt 3}{4} \times 64\)
\(= 6 \times \sqrt{3} \times 16\)
\(= 96 \times \sqrt{3} \)
OA, E
Area of an equilateral triangle = \(\frac{rt 3}{4} \times side^2\)
side = 8.
Area of hexagon = \(6 \times \frac{ rt 3}{4} \times side^2\)
\(= 6 \times \frac{ rt3}{4} \times 8^2\)
\(= 6 \times \frac{ rt 3}{4} \times 64\)
\(= 6 \times \sqrt{3} \times 16\)
\(= 96 \times \sqrt{3} \)
OA, E
Carcass wrote:
What is the area of a regular six-sided figure with side length 8 ?
A. \(64\)
B. \(64 \sqrt{3}\)
C. \(78\)
D. \(78 \sqrt{3}\)
E. \(96 \sqrt{3}\)
Kudos for the right answer and explanation
A. \(64\)
B. \(64 \sqrt{3}\)
C. \(78\)
D. \(78 \sqrt{3}\)
E. \(96 \sqrt{3}\)
Kudos for the right answer and explanation
Re: What is the area of a regular six-sided figure with side len
[#permalink]
28 Apr 2020, 22:54
28 Apr 2020, 22:54
1
Area of hexagon = 3 sqrt3/2 * side^2
Thus, 3 sqrt3/2 *64
On solving, we get 96 sqrt3.
Thus, E is the answer.
Thus, 3 sqrt3/2 *64
On solving, we get 96 sqrt3.
Thus, E is the answer.
