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Rhombus QRST has one angle of 120. Each side has a length of 5.
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02 Feb 2024, 13:11
02 Feb 2024, 13:11
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Question Stats:
37% (01:39) correct
62% (01:47) wrong based on 24 sessions
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Rhombus \(QRST\) has one angle of 120°. Each side has a length of 5.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The area of rhombus \(QRST\) |
\(25\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Rhombus QRST has one angle of 120. Each side has a length of 5.
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03 Feb 2024, 01:38
03 Feb 2024, 01:38
1
The answer is B.
Area is always maximum, and perimeter is always minimum, for symmetrical figures. Therefore, the area of the rhombus will be maximum (5^2 = 25) when all angles measure 90°, i.e. when it is a square. But as we know from the question, our rhombus is not a square, which implies that the height will be less than 5. Therefore, the area will be less than 25.
Area is always maximum, and perimeter is always minimum, for symmetrical figures. Therefore, the area of the rhombus will be maximum (5^2 = 25) when all angles measure 90°, i.e. when it is a square. But as we know from the question, our rhombus is not a square, which implies that the height will be less than 5. Therefore, the area will be less than 25.
General Discussion
Re: Rhombus QRST has one angle of 120. Each side has a length of 5.
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03 Feb 2024, 02:10
03 Feb 2024, 02:10
Expert Reply
Brilliant 
