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Rhombus QRST has one angle of 120. Each side has a length of 5.

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Rhombus QRST has one angle of 120. Each side has a length of 5. [#permalink] New post   02 Feb 2024, 13:11
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Rhombus \(QRST\) has one angle of 120°. Each side has a length of 5.

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.
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B
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Rhombus QRST has one angle of 120. Each side has a length of 5. [#permalink] New post   03 Feb 2024, 01:38
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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.
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Re: Rhombus QRST has one angle of 120. Each side has a length of 5. [#permalink] New post   03 Feb 2024, 02:10
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Brilliant :cool:
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Re: Rhombus QRST has one angle of 120. Each side has a length of 5. [#permalink]
03 Feb 2024, 02:10
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