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# What is the perimeter of quadrilateral ABCD above?

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Math Expert
Joined: 02 Sep 2009
Posts: 52119

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16 Apr 2018, 04:25
00:00

Difficulty:

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 [ 3.46 KiB | Viewed 672 times ]

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Joined: 27 Feb 2018
Posts: 36
Location: India
WE: Engineering (Real Estate)

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16 Apr 2018, 04:39
1
Bunuel wrote:

What is the perimeter of quadrilateral ABCD above?

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

Attachment:

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.
What is the perimeter of quadrilateral ABCD above? &nbs [#permalink] 16 Apr 2018, 04:39
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