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If each of the small squares in the figure above has area 1, what is

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If each of the small squares in the figure above has area 1, what is  [#permalink]

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New post 11 Jan 2019, 02:19
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A
B
C
D
E

Difficulty:

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Question Stats:

75% (00:55) correct 25% (00:39) wrong based on 57 sessions

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Re: If each of the small squares in the figure above has area 1, what is  [#permalink]

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New post 11 Jan 2019, 03:48
Bunuel wrote:
Image
If each of the small squares in the figure above has area 1, what is the area of the shaded region?

A. 50
B. 55
C. 59
D. 60
E. 61

Attachment:
2019-01-11_1318.png



total area of the figure = 1* 100 = 100
observing the image we can say that total shaded region is 10+9+8+...+1 = 55
so total shaded region area = 55
IMO B
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Re: If each of the small squares in the figure above has area 1, what is  [#permalink]

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New post 30 Jan 2019, 10:11
We have the following sequence: (1+2+3+...+10). Therefore the sum equals: ((First Unit + Last Unit)*Total Units)/2.
I.E. (1+10)/2=5.5
5.5*10=55
Ans=55=B
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Re: If each of the small squares in the figure above has area 1, what is  [#permalink]

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New post 01 Feb 2019, 19:02
Bunuel wrote:
Image
If each of the small squares in the figure above has area 1, what is the area of the shaded region?

A. 50
B. 55
C. 59
D. 60
E. 61

Attachment:
2019-01-11_1318.png


Starting at the top each row increases by 1 shaded square. So the number of shaded squares is:

(10 + 1)/2 x (10 - 1 + 1) = 11/2 x 10 = 55

Alternate Solution:

If we start counting from the top row, we see that the shaded area is equal to

1 + 2 + 3 + … + 10 = (10 x 11)/2 = 55

Answer: B
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Re: If each of the small squares in the figure above has area 1, what is   [#permalink] 01 Feb 2019, 19:02
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