A region of the plane is defined by:
|y-2x| + |y+2x| + |y-3| ≤ 9
What is the area of this region?
I plugged the formula into Excel with Y from -2.2 to 4.1 and X from -2.3 to 2.3 and found the same irregular hexagon Charlie found.
http://www.geocities.com/oosterwal/pictures/PERPLEX1.JPG
Rather than finding the area using rectangles and triangles as Charlie did, I found the area with two trapezoids.
The upper trapazoid had bases of lengths of 4 and 4.5 and a height of 1. The lower trapezoid had bases of 4.5 and 2 with a height of 5. Plugging the numbers into the H*(b1/2+b2/2) formula I got an area of 20.5
Edited on December 1, 2004, 8:45 pm
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Posted by Erik O.
on 2004-12-01 20:25:25 |
Solution (Using Excel)
