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find area bounded by three linear functions

• To: mathgroup at smc.vnet.net
• Subject: [mg68357] find area bounded by three linear functions
• From: "T Harris" <tdh1967 at bellsouth.net>
• Date: Wed, 2 Aug 2006 05:24:19 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

How can I get Mathematica to find the area of the region bounded by all 
three of the following linear functions?  I have tried searching and can't 
find it.  What do I search for to find the commands to accomplish this?  I 
calculated by hand and come up with about 3.1623 sq. units for area above 
the x-axis and 8.8378 sq. units below it.  The total area for the scalene 
triangle formed is 12 square units by my calculations using Heron's formula.

X=3Y;  X+Y=0;   7X + 3Y =24

Thanks,

T Harris 

• Follow-Ups:
  • Re: find area bounded by three linear functions
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>