Answer:
a) the length of the wire for the circle = 
b)the length of the wire for the square = 
c) the smallest possible area = 126.02 in² into two decimal places
Step-by-step explanation:
If one piece of wire for the square is y; and another piece of wire for circle is (60-y).
Then; we can say; let the side of the square be b
so 4(b)=y
b=
Area of the square which is L² can now be said to be;

On the otherhand; let the radius (r) of the circle be;
2πr = 60-y

Area of the circle which is πr² can now be;

Total Area (A);
A = 
= 
For the smallest possible area; 
∴ 
If we divide through with (2) and each entity move to the opposite side; we have:

By cross multiplying; we have:
2πy = 480 - 8y
collect like terms
(2π + 8) y = 480
which can be reduced to (π + 4)y = 240 by dividing through with 2

∴ since
, we can determine for the length of the circle ;
60-y can now be;
= 
= 
= 
= 
also, the length of wire for the square (y) ; 
The smallest possible area (A) = 
= 126.0223095 in²
≅ 126.02 in² ( to two decimal places)