Question

which figure best demonstrates the setup for the box method of finding the area of a triangle?

Explanation:

The box method for finding the area of a triangle involves enclosing the triangle in a rectangle (the box). The second figure shows the triangle enclosed in a rectangle, which is the correct setup for the box method. The other figures either do not enclose the triangle properly (first figure has a non - rectangular enclosing shape in part), or the enclosing shape is not a full rectangle (fourth figure has a non - rectangular dashed shape) or is not the minimal rectangle (third figure's rectangle is not the one that would be used in the standard box method calculation as it's not the rectangle that touches all the vertices of the triangle in the way required for the area subtraction steps of the box method).

Answer:

The second figure (the one with the triangle enclosed in a rectangle) is the correct setup for the box method.