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Q: How is the perimeter of a parallelogram related to the perimeter of a triangle and a rectangle?

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Only by the definition of a perimeter.

It is not in all but a trivial sense - that they are both to do with finding the perimeter!

Area = length x width you may try the online calculator linked below that is related to this area and perimeter calculation of common shapes like rectangle, circle, triangle, parallelogram, rhombus and trapezoid.

The area formula for the parallelogram is related to the area formula for a rectangle because you can make the parallelogram into a rectangle to find the area.

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 are both convex polygons.

sideways

the area of a triangle is half that of a rectangle made using two of those triangles.

It's half the area of a rectangle

Area of a triangle = 0.5*base*perpendicular height Area of a parallelogram = base*perpendicular height

Both of them got 3 corners. A triangle always have a total of 180 degrees.

The area of a parallelogram is the length times the vertical height. In a rectangle, the vertical height is the same as the width so the area is length times width.

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 perimeter of a rectangle is the distance around the rectangle. The area of a rectangle is the space inside the rectangle. To calculate either one you need the length and the width of the rectangle. To calculate the area multiply the length times the width. To calculate the perimeter add the length+width+length+width (that is the distance all the way around)

if you draw a line from one corner of a rectangle to the opposite it creates two triangles

If you draw one diagonal across a parallelogram, it will split it into two congruent triangles. A rectangle is a parallelogram, with all four angles equal to 90Â°.

It heavily depends on exactly how they're related.

two right triangles = full rectangle That is - if you multiply height times base of a triangle, the area will be 1/2 of a rectangle having the same height, and a width the same as the triangle base.

A parallelogram is any shape with two pairs of parallel sides and 4 sides in total. For a picture of a typical parallelogram, see the related links section below.

They are characteristics of geometric shapes. However, there is no simple relationship. A rectangle with a given perimeter can have a whole range of areas.

1/2

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).

The width and the length are independent. You can have a very long rectangle which is very wide or not wide at all. They are related when it comes to calculating area or perimeter of the rectangle. Perhaps that is what you meant?

"Shape" is too general of a term. More information is needed to solve. What kind of shape is it? Triangle, rectangle? is it a regular polygon? See the Related Questions below to get more information.