A wire 10 feet long is to be cut into two pieces, each of which is to formed into a square. What is the largest possible total area of the two squares? What is the smallest possible total area?© BrainMass Inc. brainmass.com February 24, 2021, 2:23 pm ad1c9bdddf
Let 2 pieces be x , 10-x.
Total Area = x^2 + (10-x)^2
A = X^2 + 100 + X^2 -20X
dA/dx = 4x - 20.
d2A/d2x ( second derivative) ...
The optimization for the total areas of squares are given. The smallest possible total area are analyzed.