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29 Oct 2017, 05:25
Kudos
Bookmarks
B
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15%
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Question Stats:
83% (01:59) correct
17%
(02:22)
wrong
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In the figure, ABCD is a square, and all the dots are evenly spaced: each vertical or horizontal distance between two adjacent dots is 3 units. Find the area of the shaded region.
A. 60
B. 72
C. 81
D. 96
E. 120
Attachment:
ldvagm_img1.jpg [ 11.56 KiB | Viewed 8896 times ]
30 Oct 2017, 10:46
Kudos
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Bunuel
Attachment:
ccccc.jpg [ 26 KiB | Viewed 7944 times ]
As long as the shapes' side lengths are made with the same number of dots, they are congruent.
"Move" some of the shaded parts, see diagram, left square.
Right hand square: Now the shaded area is half the square's area.
One side of the square = 4 dots * 3 units = 12
Square area = 12\(^2\) = 144
Shaded area = half of square = 72
Answer B
General Discussion
