Perimeter question

[collegebound]

Trying to find perimeter of a polygon in an "L" shape but only given the measurements of two sides (31 for the long side on the left and 25 for the bottom). Is it possible to determine the other 4 sides with only this information?

 

[stapel]

Trying to find perimeter of a polygon in an "L" shape but only given the measurements of two sides (31 for the long side on the left and 25 for the bottom). Is it possible to determine the other 4 sides with only this information?

Try drawing various L-shaped polygons, given only two side lengths. Experiment with different angles at the "corner" of the L. Experiment with different thicknesses of the L's two arms. Experiment with varying thicknesses along the arms.

Are the other four sides always the same, or are they different each time? What can you conclude?