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Open Middle: Trapezoid Area Problem

Creation of this resource was inspired by this Open Middle problem from Patrick McGowan.

Creation of this resource was inspired by this Open Middle problem from Patrick McGowan.
Source: Open Middle website

Move the LARGE POINTS to create different trapezoids with fixed perimeter = 46 units. If the trapezoid disappears, make it smaller so it reappears.

What maximum possible area did you find? What were the dimensions of this trapezoid?

Math Teachers: For a version of this problem where you can choose your own fixed perimeter, click here.