Subhotosh Khan
Advanced Member
USA
9116 Posts 
Posted  10/11/2007 : 09:28:29

quote: Originally posted by nerro_101
Can anyone help me? I've been stuck with this problem for 5 days now. A piece of wire 50 cm long is cut into two pieces AP and PB as shown below. Piece Ap is bent to form a square, while piece PB is bent into a circle. How do I express the total area enclosed by the two figures as a function of x? (remake of the image below)
x50x .___________________.________________. point apoint ppoint b Thank you.
Perimeter of a square with side 'L' = 4*L = x
So each side of square = x/4
Area of square = L^{2} = x^{2}/16
Do similar computation for circle and then add the areas up. 

