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To find the length of the base of the rectangle, we need to add the lengths of the two parallel sides of the trapezoid.
Let's assume the trapezoid-shaped stage is in the form of a trapezoid ABCD where AB and CD are the parallel sides, and AD and BC are the non-parallel sides.
If we consider the rectangle that can be composed, it would have the same width as the trapezoid and a length equal to the sum of the lengths of the parallel sides of the trapezoid.
Therefore, the length of the base of the rectangle would be AB + CD.