# 22) A wire of length 28 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the length of the two pieces so that the combined area of the square and the circle is minimum?

Area of the square (A) =
Area of the circle(S) =
Given the length of wire  = 28 m
Let the length of one of the piece is x m
Then the length of the other piece is (28 - x) m
Now,

and

Area of the combined circle and square  = A + S

Now,

Hence,   is the point of minima
Other length is = 28 - x
=
Hence, two lengths are  and

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