You know the trough optimization problems. I used to be able to do these easily and I completely forgot how to do them so I need help.
Trapezoids are 1/2h(a+b), in this case a is the long side, and we're trying to maximize area, which in this case will be y. We know that y and both sides of the trapezoids are 12", so by this we know that h^2=12^2  .5(ab)^2. However, if we plug this in and derive we end up with impenetrable squareroot barf. I know that there's an easier way to do this. Help?
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Thread: Stupid trapezoids

10032010, 12:42 PM #1
Stupid trapezoids
Carefully taking sips from the Fire Hose of Knowledge

10032010, 01:08 PM #2
This doesn't seem to make any sense. Are you sure you are giving us the correct information? Your post states that you want to maximse the area y, but it also states 'that y and both sides of the trapezoids are 12"'. But if y=12" than it is fixed and cannot be optimised! Plus trapezoids usually gave 4 sides in everday existence, so by both sides do you mean a and h (or b and h). You can't mean a and b, otherwise thats a rectangle.
Don't make whine out of sour grapes.

10032010, 01:13 PM #3
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