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

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

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New post 10 Oct 2017, 23:58
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A
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Difficulty:

  5% (low)

Question Stats:

95% (00:43) correct 5% (00:34) wrong based on 65 sessions

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

(A) 11/10
(B) 4/5
(C) 7/10
(D) 3/5
(E) 2/5

[Reveal] Spoiler:
Attachment:
2017-10-11_1156.png
2017-10-11_1156.png [ 8.22 KiB | Viewed 936 times ]
[Reveal] Spoiler: OA

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

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New post 11 Oct 2017, 00:55
1/4*1/5*14=7/10

C.

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

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New post 11 Oct 2017, 07:13
Bunuel wrote:
Image
In the square above, what is the area of the shaded region?

(A) 11/10
(B) 4/5
(C) 7/10
(D) 3/5
(E) 2/5

[Reveal] Spoiler:
Attachment:
2017-10-11_1156.png

The area of one small square is \(\frac{1}{4}\) * \(\frac{1}{5}\) = \(\frac{1}{20}\)

There are 5 * 4 = 20 small squares

6 of 20 are not shaded. 14 of 20 are. Area of shaded region:

\(\frac{1}{20}\) * 14 = \(\frac{14}{20}\) = \(\frac{7}{10}\)

Answer (C)

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

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New post 11 Oct 2017, 07:22
Total area = 1/4 * 4 * 1/5 * 5 = 1

Shaded area = 1 - (1*1/5 + 1/4*2/5) = 7/10

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

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New post 12 Oct 2017, 06:23
Bunuel wrote:
Image
In the square above, what is the area of the shaded region?

(A) 11/10
(B) 4/5
(C) 7/10
(D) 3/5
(E) 2/5

[Reveal] Spoiler:
Attachment:
2017-10-11_1156.png


Number of shaded box to Total number of boxes

14/20 equals to 7/10

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

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New post 13 Oct 2017, 08:26
Bunuel wrote:
Image
In the square above, what is the area of the shaded region?

(A) 11/10
(B) 4/5
(C) 7/10
(D) 3/5
(E) 2/5

[Reveal] Spoiler:
Attachment:
2017-10-11_1156.png


Since each small shaded rectangle has area (1/5)(1/4) = 1/20 and there are 14 such rectangles, the total area of the shaded region is 14 x 1/20 = 14/20 = 7/10.

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

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New post 15 Oct 2017, 05:56
Number of shaded squares = 14
Area of each shaded square = 1/4 * 1/5 = 1/20
So area of shaded region = 1/20 * 14 = 7/10

Answer: C

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

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New post 22 Nov 2017, 17:43
The quicker method is to count the number of shaded boxes and determine the area based on fractions.

There are 14 shaded boxes and 6 unshaded boxes. Therefore, area of the shaded boxes is 14/20 = 7/10.

Another method is to calculate the area.
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Re: In the square above, what is the area of the shaded region?   [#permalink] 22 Nov 2017, 17:43
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In the square above, what is the area of the shaded region?

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