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What is the perimeter of quadrilateral ABCD above?

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What is the perimeter of quadrilateral ABCD above?  [#permalink]

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New post 16 Apr 2018, 04:25
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  25% (medium)

Question Stats:

87% (00:49) correct 13% (03:53) wrong based on 21 sessions

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What is the perimeter of quadrilateral ABCD above?

A. 160
B. 180
C. 200
D. 220
E. 240


Attachment:
Quadrilateral_A_B_C_D.png
Quadrilateral_A_B_C_D.png [ 3.46 KiB | Viewed 672 times ]

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What is the perimeter of quadrilateral ABCD above?  [#permalink]

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New post 16 Apr 2018, 04:39
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Bunuel wrote:
Image
What is the perimeter of quadrilateral ABCD above?

A. 160
B. 180
C. 200
D. 220
E. 240


Attachment:
Quadrilateral_A_B_C_D.png


C. 200

1. Draw a perpendicular from point B on Line CD, to create right angled triangle BCE.
2. We know two sides of triangle ie BC=50 and BE=30. By pythagoras theorem of Pythagorean Triplet we get CE=40.
3. It gives the perimeter 30+40+50+40+40=200.
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What is the perimeter of quadrilateral ABCD above? &nbs [#permalink] 16 Apr 2018, 04:39
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What is the perimeter of quadrilateral ABCD above?

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