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

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

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New post 17 Dec 2017, 01:50
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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

[Reveal] Spoiler:
Attachment:
2017-12-17_1244_001.png
2017-12-17_1244_001.png [ 5.44 KiB | Viewed 546 times ]
[Reveal] Spoiler: OA

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Re: In the figure above, what is the area of the shaded region? [#permalink]

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New post 17 Dec 2017, 02:52
Bunuel wrote:
Image
In the figure above, what is the area of the shaded region?

(A) 1
(B) 2
(C) 2√2
(D) 3
(E) 4

[Reveal] Spoiler:
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
Answer is A .
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In the figure above, what is the area of the shaded region? [#permalink]

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New post 17 Dec 2017, 05:42
Bunuel wrote:
Image
In the figure above, what is the area of the shaded region?

(A) 1
(B) 2
(C) 2√2
(D) 3
(E) 4

[Reveal] Spoiler:
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

Answer : Option A

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

Answer : Option A
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In the figure above, what is the area of the shaded region?   [#permalink] 17 Dec 2017, 05:42
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