Finding the Area of ABMN: A Geometry Problem

[fork]

In the figure, ABCD is a rectangle. M is the midpoint of BC and AC intersects MD at N.
Find the Area of the NCD: Area of ABMN.

I am sorry i don't know how to solve this question. Thanks.

 

[dfollett76]

Well you can find areas of MCB and ABC easy enough in terms of lengths AB and BC (I'm assuming your answer neads to be in terms of AB and BC-so I would label them x and y to make it easier) Then the only trick would be finding the area of MNC, you can find the base easy enough the height is the tricky part. Once you know the area of MNC finding NCB and ABMN should be simple.

As far as finding the height of MNC I might try creating a coordinate system for the figure then finding linear equations for the lines AC and MD then solving the two equations simultaneously to find their point of intersection.

 

[fork]

In fact, the ans is 2:5. And I can calculate this question by using your method. Thank.

 

[dfollett76]

Your welcome. And that's true for any rectangle? How interesting.

 

[tamalkuila]

prove that primes of the form 4n+1 are infinite?send the proof to tamalkuila@gmail.com

 

[The Bob]

prove that primes of the form 4n+1 are infinite?send the proof to tamalkuila@gmail.com

What does this have to do with the original question?

The Bob (2004 ©)