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Diagonals of two rhombus shown above overlap. What is the area of shad
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19 Jun 2023, 05:40
19 Jun 2023, 05:40
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Question Stats:
92% (01:48) correct
7% (01:47) wrong based on 14 sessions
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Diagonals of two rhombus shown above overlap. What is the area of shaded region?
A. 24
B. 72
C. 80
D. 96
E. 108
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Re: Diagonals of two rhombus shown above overlap. What is the area of shad
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20 Jun 2023, 07:15
20 Jun 2023, 07:15
2
we can use the area of right triangle to find out the area of 1 shaded region. The area of the large right triangle is: 0.5*8*6=24 and the area of the small right triangle is: 0.5*4*3=6. So the area of one shaded region is 24-6=18. we have 4 shaded region and the area of these shaded region will be 18*4=72. so option B is correct
Re: Diagonals of two rhombus shown above overlap. What is the area of shad
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11 Oct 2023, 08:24
11 Oct 2023, 08:24
themadtitan wrote:
we can use the area of right triangle to find out the area of 1 shaded region. The area of the large right triangle is: 0.5*8*6=24 and the area of the small right triangle is: 0.5*4*3=6. So the area of one shaded region is 24-6=18. we have 4 shaded region and the area of these shaded region will be 18*4=72. so option B is correct
This is interesting!
Another method is to see that the area of a rhombus is 0.5 * product of the length of the diagnols.
