SOLUTION: A wire 26 cm long is cut into two pieces, one of length x and the other of length 26 − x. Each piece is bent into the shape of a square.
(a) Find a function that models the
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-> SOLUTION: A wire 26 cm long is cut into two pieces, one of length x and the other of length 26 − x. Each piece is bent into the shape of a square.
(a) Find a function that models the
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Question 1035128: A wire 26 cm long is cut into two pieces, one of length x and the other of length 26 − x. Each piece is bent into the shape of a square.
(a) Find a function that models the total area A enclosed by the two squares in terms of x.
(b) Find the value of x that minimizes the total area of the two squares. Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! The area of the two squares is given by
To minimize this we take the derivative A'(x) and set it equal to zero...we get
which yields
2x - 26 = 0
x = 13
