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The area of parallelogram KLMN

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sandy
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The area of parallelogram KLMN [#permalink] New post   04 Oct 2018, 16:33
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Quantity A
Quantity B
The area of parallelogram KLMN
The area of quadrilateral JKLM


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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C
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pranab223
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Re: The area of parallelogram KLMN [#permalink] New post   21 Oct 2018, 23:01
sandy wrote:
Attachment:
Capture.JPG


Quantity A
Quantity B
The area of parallelogram KLMN
The area of quadrilateral JKLM


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.



Let divide the quadrilateral in two triangles triangle MNK and triangle MLK and the parallelogram into two triangle MJK and triangle MLK

it can be found out they all have common base MK and have the same height

From this it can be conclude that QTY A = QTY B

Hence option C
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chetan2u
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Re: The area of parallelogram KLMN [#permalink] New post   21 Oct 2018, 23:27
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sandy wrote:
Attachment:
The attachment Capture.JPG is no longer available


Quantity A
Quantity B
The area of parallelogram KLMN
The area of quadrilateral JKLM


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.



Both the quadrilaterals have Triangle LMK common to both quadrilaterals..
and the remaining part of the two quadrialateral are two separate triangles with SAME base and SAME height ( between two parallel lines) - LMK and LMK
so A=B

see the attached figure
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Re: The area of parallelogram KLMN [#permalink] New post   28 Nov 2024, 03:39
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Re: The area of parallelogram KLMN [#permalink]
28 Nov 2024, 03:39
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