In the figure above, the two square regions have areas 16 and 25, resp : Problem Solving (PS)

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In the figure above, the two square regions have areas 16 and 25, resp

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Senior PS Moderator

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In the figure above, the two square regions have areas 16 and 25, resp [#permalink]

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31 Oct 2018, 17:19

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Difficulty:

25% (medium)

Question Stats:

85% (00:45) correct

15% (00:11) wrong

based on 13 sessions

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In the figure above, the two square regions have areas 16 and 25, respectively. What is the area of the shaded triangular region?

A. 6
B. 8
C. 9
D. 12
E. 15

Spoiler: ::

Attachment:

Geometry.PNG [ 2.72 KiB | Viewed 150 times ]

Spoiler: OA

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Joined: 18 Jul 2018

Posts: 379

Location: India

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Re: In the figure above, the two square regions have areas 16 and 25, resp [#permalink]

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31 Oct 2018, 18:41

Area of the first square = 16. Side = 4.
Area of the tilted square = 25. Side = 5.
The side of the tilted square becomes the hypotenuse of the triangle = 5.
The side of the first square becomes the height of the triangle. = 4.
Then by Pythagoras theorem, the base is 3.
Area of the triangle = 1/2*4*3 = 6.

A is the answer.
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