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30 Dec 2020, 22:00
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (02:00) correct
29%
(02:01)
wrong
based on 76
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Not Attempted Yet
In the figure below, ABCD is a rhombus, a parallelogram with sides of equal length. If the diagonals AC and BD bisect each other and are 12 centimeters and 8 centimeters long, respectively, what is the perimeter of the rhombus, in centimeters?
(A) 20
(B) \(8 \sqrt{13}\)
(C) 40
(D) \(16 \sqrt{13}\)
(E) It cannot be determined.
2020-12-30_20-57-02.png [ 38.6 KiB | Viewed 3085 times ]
(A) 20
(B) \(8 \sqrt{13}\)
(C) 40
(D) \(16 \sqrt{13}\)
(E) It cannot be determined.
Attachment:
2020-12-30_20-57-02.png [ 38.6 KiB | Viewed 3085 times ]
30 Dec 2020, 22:47
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Formula:
\(Area = \frac{1}{2}*d_1*d_2\)
\(Side(a) =\frac{\sqrt{d_1^2+d_2^2}}{2}\)
\(Perimeter(p) =4*a\)
\(p=4*\frac{\sqrt{12^2+8^2}}{2}=2*\sqrt{208}=2*4\sqrt{13}=8\sqrt{13}\)
Ans B
\(Area = \frac{1}{2}*d_1*d_2\)
\(Side(a) =\frac{\sqrt{d_1^2+d_2^2}}{2}\)
\(Perimeter(p) =4*a\)
\(p=4*\frac{\sqrt{12^2+8^2}}{2}=2*\sqrt{208}=2*4\sqrt{13}=8\sqrt{13}\)
Ans B
31 Dec 2020, 07:23
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Given
To Find
Approach and Working Out
Correct Answer: Option B
- • A rhombus with diagonals of 12 and 8 cms.
To Find
- • Perimeter of the rhombus.
Approach and Working Out
- • The diagonals bisect each other at 90 degrees.
- o So the smaller triangles are right-angled triangles with perpendicular sides as 4 cm and 6 cm.
o Length of any side of the rhombus = √(4^2 + 6^2) = √52 = 2√13.
Correct Answer: Option B
