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# In the grid of squares above, each small square has side of length 1.

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Math Expert
Joined: 02 Sep 2009
Posts: 49206
In the grid of squares above, each small square has side of length 1.  [#permalink]

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26 Sep 2017, 23:28
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Difficulty:

15% (low)

Question Stats:

100% (00:46) correct 0% (00:00) wrong based on 28 sessions

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In the grid of squares above, each small square has side of length 1. What is the sum of the areas of the shaded regions?

(A) 48
(B) 40
(C) 32
(D) 24
(E) 16

Attachment:

2017-09-27_1016_001.png [ 5.39 KiB | Viewed 655 times ]

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In the grid of squares above, each small square has side of length 1.  [#permalink]

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27 Sep 2017, 17:40
Bunuel wrote:

In the grid of squares above, each small square has side of length 1. What is the sum of the areas of the shaded regions?

(A) 48
(B) 40
(C) 32
(D) 24
(E) 16

Attachment:
2017-09-27_1016_001.png

Bunuel , there is no shading on my image. If that is accurate, maybe you mean: "What is the sum of the areas of the regions bounded by the outline?"

I'll assume that. The outlined figure looks like an animal.

Area of triangle (animal's head): count 4 lengths of 1 across, 4 lengths down.
(4*4)/2 = 8

Area of tall rectangle minus area of small rectangle (body and legs):
--Tall rectangle: 4 lengths across by 8 down. (4*8) = 32
--Short rectangle: 2 across by 4 down. (2*4) = 8
--Total area is 32 - 8 = 24

8 + 24 = 32

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In the grid of squares above, each small square has side of length 1. &nbs [#permalink] 27 Sep 2017, 17:40
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