I don't know about the relation in the perimeters of a triangle and a parallelogram but if a triangle is on the same base on which the parallelogram is and the triangle is between the same parallel lines of the parallelogram, then the area of the triangle will be half the area of the parallelogram.
That is,
area of a triangle = 1/2 area of a parallelogram
if the triangle is on the same base and between the same parallel lines.
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The minimum perimeter is when the triangle is an equilateral triangle. The perimeter of any other triangle with the same area will be longer. In the case of an equilateral triangle area = (√3)/4 × side² → side = √(4×6.5 cm²/√3) → perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm → The triangle has a perimeter greater than or equal to approx 11.62 cm.
Begs the question: Same perimeter as what? There are plenty of examples of shapes that given the same perimeter length will have different areas, e.g. pick any two of the following: Circle, Square, Triangle, Rhombus, Pentagon, Hexagon...
a parallelogram is a tilted rectangle
An equilateral triangle has all three sides the same length. → perimeter = 3 × 10.5 = 31.5 units.
If the parallelogram is sideways like the small sides are crooked and the bottom lines are straight then you have to add all the sides to get your answer.Measure any two adjacent sides. Sum them, then multiply by two.It's the sum of the lengths of all sides that form a parallelogram.Perimeter is the distance around an object. If we have a parallelogram with a length 12 and width 5, then 5+5+12+12 which is equal to 34. Same with trapezoid, rectangle, triangle, star, etc.P = 2l + 2w