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The area of parallelogram KLMN
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04 Oct 2018, 16:33
04 Oct 2018, 16:33
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Question Stats:
69% (01:09) correct
30% (01:50) wrong based on 101 sessions
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Attachment:
Capture.JPG [ 35.18 KiB | Viewed 8729 times ]
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.
Re: The area of parallelogram KLMN
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21 Oct 2018, 23:27
21 Oct 2018, 23:27
4
Expert Reply
1
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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
Attachments
111.JPG [ 65.33 KiB | Viewed 8525 times ]
General Discussion
Re: The area of parallelogram KLMN
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21 Oct 2018, 23:01
21 Oct 2018, 23:01
1
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
