QUESTION 1 (FEB/MARCH 2010) A wire, 4 metres long, is cut into two pieces. One is bent into the shape of a square and the other into the shape of a circle. 1.1 If the length of wire used to make the circle is x metres, write in terms of x the length of the sides of the square in metres. 1.2 Show that the sum of the areas of the circle and the square is given by 1.3 f(x) = ( 1±1/ + 16 4TT - +1 square metres. 2 How should the wire be cut so that the sum of the areas of the circle and the square is a minimum? (1) (3) [8]