They are both convex polygons.
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If the heights and bases are the same, then the triangle is half the area of the parallelogram.
Only by the definition of a perimeter.
The parallelogram has twice the area of the triangle if their bases are the same and their heights are the same. Area triangle = 1/2 base x height. Area parallelogram = base x height.
The answer depends on how the parallelogram in the triangle is constructed.
you do it because the triangle is half the size of the parallelogram