Question

Give examples of a parallelogram which have equal perimeter but different areas​

Answer 1

Just worked out a quick example, so the numbers may not be optimal: take a triangle with side lengths 2,3,4 - this has perimeter 9 and area 315−−√/4315/4. It's easy enough to construct a rectangle with this data as well, by solving the equations st=315−−√/4st=315/4 and 2s+2t=92s+2t=9. In fact, the sides lengths s,ts,t of the rectangle work out to be 14(9±81−1215−−√−−−−−−−−−√)14(9±81−1215).

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