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In rectangle ABCD, side DC is divided into five equal segmen
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20 Dec 2017, 15:39
20 Dec 2017, 15:39
Expert Reply
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Question Stats:
89% (00:39) correct
10% (00:57) wrong based on 47 sessions
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In rectangle ABCD, side DC is divided into five equal segments by points P,Q,R and S
Quantity A |
Quantity B |
The area of ∆MCQ |
The area of ∆NSP |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
kudo for the right solution and explanation
Re: In rectangle ABCD, side DC is divided into five equal segmen
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20 Dec 2017, 17:07
20 Dec 2017, 17:07
1
So let's say that the lenghth of Dc is 10 and then it follows that each point is 2.
The base of triangle NPS is comprised of 4 points inclusive so the length must be 6.
The triangle QMC is also comprised of 4 points which gives us the same base: 6.
Now we need to find the height. We can draw a height for triangle NPS which would be equal to the wide of the rectangle.
For triangle QMC we can draw a height from the line DC to the point M for example and it would have the same wide as the rectangle.
Therefore C of I am right
If nothing is indicated regarding point M and N lying on segment AB, can we assume according to the graphic that they are effectively on the segment ???
The base of triangle NPS is comprised of 4 points inclusive so the length must be 6.
The triangle QMC is also comprised of 4 points which gives us the same base: 6.
Now we need to find the height. We can draw a height for triangle NPS which would be equal to the wide of the rectangle.
For triangle QMC we can draw a height from the line DC to the point M for example and it would have the same wide as the rectangle.
Therefore C of I am right
If nothing is indicated regarding point M and N lying on segment AB, can we assume according to the graphic that they are effectively on the segment ???
Re: In rectangle ABCD, side DC is divided into five equal segmen
[#permalink]
20 Dec 2017, 19:10
20 Dec 2017, 19:10
1
We know if two triangle stands on base of same length and enclosed within two parallel lines than triangles are equal.hnsere both triangles have same base length.
So ans is C
So ans is C
