Question

a piece of wire 12 inches long is to be used to form a square and or a circle.determine a function that expresses the combined area of both figures.what is its domain?

Answer 1

and/or ? Since you want the area of both figure, I'll assume "and"
So, if a side of the square is s, its perimeter is 4s, leaving 12-4s inches for the circumference of the circle. If you want the function to depend only on one variable, let's make that C, the circumference of the circle. You can, of course pick other values for your independent variable.
C = circumference of circle
12-C = perimeter of square
That means that the area A is
A = C^2/(4π) + ((12-C)/4)^2
Naturally, the domain is 0 <= C <= 12

Answer 2

A piece of wire 12 inches long is to be used to form a square and/or a circle Determine
a
function that expresses the combined area of both figures
. What is its domain?