
maximum and minimum
A wire of length 100cm is cut into two pieces of length xcm and ycm. The piece of length xcm is bent into the shape of a square and the piece of length ycm into the shape of a circle. Find x and y so that the sum of the areas encloseed by the shapes will be (a) a minimum (b) a maximum
I gathered that one of the equation will be x+y=100 but im not sure what the other equation will be, please help me with this? thanks


i don't get why the area of a circle is y/4Pi?

oopsie i did it wrong
circumference = y = 2pi r
rearrange so you have the area (pi * r * r) on one side.
http://quicklatex.com/cache3/ql_6bb2...d206afa_l3.png
the RHS is the area of the circle

so i subbed in the equations and then differentiate it to get the st. pts. and got
x=400/(Pii+4)
and
y=100Pi/(Pi+4)
but i test the nature for this and wasn't able to prove it to be a minimum or a maximum point. why is that?

show your calculations, it looks like a minimum to me:
]SEE THIS LINK