Sixteenfeet of wire is to be used to form a square and a cir

Sixteenfeet of wire is to be used to form a square and a circle.

Solution

circumference of circle + Perimeter of square = 16 let radius = r, lenght of a side of square = x then 2pir + 4x = 16 area of circle = pir^2 = pi ((16-4x)/2pi)^2 = (16-4x)^2/4pi = 4(4-x)^2 area of square = x^2 sum = 64-32x+4x^2 + x^2 =64-32x+5x^2