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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.

Q: Can a triangle have the same perimeter and area as a parallelogram?

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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

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

An equilateral triangle has all three sides the same length. → perimeter = 3 × 10.5 = 31.5 units.

Related questions

If the heights and bases are the same, then the triangle is half the area of the parallelogram.

If the heights and bases are the same, then the triangle is half the area of the parallelogram.

They need not be. A bigger triangle can have the same area as a small parallelogram.They need not be. A bigger triangle can have the same area as a small parallelogram.They need not be. A bigger triangle can have the same area as a small parallelogram.They need not be. A bigger triangle can have the same area as a small parallelogram.

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.

A triangle twice as high as a parallelogram with the same base has the same area.

The area of a parallelogram is base x height and the area of a triangle is 1/2 x base x height. So the area of a parallelogram will always be 2 times bigger than a triangle with the same base and height.

twice the area of the triangle with the same base an height.

It is base x height for the parallelogram. That is twice the area of a triangle which is: 1/2 base x height. (Base and height being the same for both cases).

Answer: absolutely not! Answer: No. For starters, the area uses units of area (for example, square centimeters), while the perimeter uses units of length (For example, centimeters).

Yes. If you drew them one on top of another, the parallelogram would be a "squashed" one that was not very high when compared to the height of the triangle. But it is eminently possible to have the two figures contain the same area and have the same base.

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.

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