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# In the figure above, what is the area of the shaded region?

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
In the figure above, what is the area of the shaded region?  [#permalink]

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17 Dec 2017, 00:50
00:00

Difficulty:

15% (low)

Question Stats:

84% (00:36) correct 16% (00:42) wrong based on 49 sessions

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In the figure above, what is the area of the shaded region?

(A) 1
(B) 2
(C) 2√2
(D) 3
(E) 4

Attachment:

2017-12-17_1244_001.png [ 5.44 KiB | Viewed 955 times ]

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Joined: 13 Apr 2010
Posts: 89
Re: In the figure above, what is the area of the shaded region?  [#permalink]

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17 Dec 2017, 01:52
Bunuel wrote:

In the figure above, what is the area of the shaded region?

(A) 1
(B) 2
(C) 2√2
(D) 3
(E) 4

Attachment:
2017-12-17_1244_001.png

Area of the Shaded Region is equal to [Area of bigger right angled triangle] - [Area of smaller right angled triangle ]
= [1/2 * 2 * 2] - [1/2 * 2 * 1]
= 2 - 1
= 1
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In the figure above, what is the area of the shaded region?  [#permalink]

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17 Dec 2017, 04:42
Bunuel wrote:

In the figure above, what is the area of the shaded region?

(A) 1
(B) 2
(C) 2√2
(D) 3
(E) 4

Attachment:
2017-12-17_1244_001.png

METHOD - 1:
Area of the shaded region = Area of bigger triangle - area of he smaller triangle

Area of the bigger triangle = (1/2)*2*2 = 2
Area of the Smaller triangle = (1/2)*2*1 = 1

Shaded Area = 2-1 = 1

METHOD - 2:

Consider the base of the shaded triangle on the Y-Axis = 1 . (i.e. 2-1=1)
Height of the shaded triangle will be the X-co-prdoinate of the point on X-Axis = 2

Area = (1/2)*1*2 = 1

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In the figure above, what is the area of the shaded region?   [#permalink] 17 Dec 2017, 04:42
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