Inverse variation means y=k/x, we are given (3,6) so
6=k/3
k=18 so
y=18/x
y=18/27
y=2/3
Because rectangles' sides are equal two by two. they are not all congruent
so the shape is a square
$44.25 .. The perimeter is 19.8, times the cost, which is 44.25
Short answer: It's a circle.
Argument
A parabola has a power of x on one side of the equal sign.
A circle (like this one) has variables raised to the second degree (x and y). The number in front of x^2 and y^2 is equal, usually 1.
An ellipse has x^2 and y^2 present, the numbers in front of x^2 is different from the number in front of y^2
hyperbola has a minus sign between the x^ and y^2. or between the y^2 and x^2
These are the main characteristics of each. They are not the only ones.