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17 Aug 2021, 08:00
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E
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56%
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In an image above, each of the four equilateral triangles (ABC, CDE, EFG, and GHI) has an area of 6 cm^2. What is the area of blue region?
A. 5
B. 5.5
C. 6
D. 6.5
E. 7
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Attachment:
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17 Aug 2021, 09:38
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If we draw a line meeting point B, D, F and H, then we see 7 equilateral triangles.
Total area = 6*7 = 21, by symmetry, blue colored is 1/3rd.
So, the blue area = 21/3 = 7.
So, I think E.
Total area = 6*7 = 21, by symmetry, blue colored is 1/3rd.
So, the blue area = 21/3 = 7.
So, I think E.
joohwangie
Joined: 17 Jan 2019
Last visit: 16 Aug 2026
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Concentration: Leadership, Sustainability
Schools: Stanford '26
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17 Aug 2021, 23:39
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In an image above, each of the four equilateral triangles (ABC, CDE, EFG, and GHI) has an area of 6 cm^2. What is the area of blue region?
A. 5
B. 5.5
C. 6
D. 6.5
E. 7
from the picture above if one triangle area is 6, then the shaded area must be greater than 6 for sure so the answer can be 6.5 or 6.
and it must be 7 becuase it's one full triangle and 1/6 of the triangle not one full triangle and 1/12th
Therefore E
A. 5
B. 5.5
C. 6
D. 6.5
E. 7
from the picture above if one triangle area is 6, then the shaded area must be greater than 6 for sure so the answer can be 6.5 or 6.
and it must be 7 becuase it's one full triangle and 1/6 of the triangle not one full triangle and 1/12th
Therefore E
