Simple Maths

1. Apr 28, 2005

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.

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2. Apr 28, 2005

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.

3. Apr 28, 2005

fork

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

4. Apr 28, 2005

dfollett76

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

5. Apr 28, 2005

tamalkuila

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

6. Apr 28, 2005

The Bob

What does this have to do with the original question???