Square Slicing

Geometry Level 2

Consider the figure on the right. The goal is to cut off a piece and rearrange it into a square.

Clearly, we can cut off the triangle with interior angles 30$^\circ$-45$^\circ$, and paste on the at the bottom to form a square, as shown on the left.

Is it possible to cut of a different piece from the original shape and rearrange it into a square?

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