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# How is the area of a parallelogram related to the area of a triangle with the same base and height?

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###### 2011-10-14 11:26:33

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.

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## Related Questions

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

Parallelogram = Base*Height Triangle = 0.5*Base*HeightParallelogram = Base*Height Triangle = 0.5*Base*HeightParallelogram = Base*Height Triangle = 0.5*Base*HeightParallelogram = Base*Height Triangle = 0.5*Base*Height

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.

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.

The side of a triangle or parallelogram used to help find area is called the base. Area is base times height in a parallelogram. In a triangle, it is 1/2 times base times height.

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

Because base times height = the area of a parallelogram and a triangle's area is half that of the parallelogram that the triangle exactly fits into.

Area circle: &pi; &times; radius&sup2; Area triangle: &frac12; &times; base &times; height Area Parallelogram: base &times; height Area: Rectangle: length &times; width In a triangle, the base is any side between two vertices and the height is the perpendicular distance from this side to the third vertex. In a parallelogram the base is any side. The height is the perpendicular distance between this side and the side parallel to it.

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.

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.

Do you know the formula for the area of a triangle ? Pick a base-length and a height for your triangle so that 1/2 (base x height) = 20. Do you know the formula for the area of a parallelogram ? Pick a base-length and a height for your parallelogram so that (base x height) = 20. We're having a problem understanding your difficulty. Of course, if you don't know the formulas for area . . .

B= Base H= Height x= Multiply /= Divide For a parallelogram you would do: Area= bh x 2 So the base X height, then x 2 For a triangle: Area= bh/ 2 So the base x height then / 2

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.

They both use perpendicular height and are in square units. Area of a trapezoid = 0.5*(sum of parallel sides)*perpendicular height Area of a parallelogram = base*perpendicular height

The area of a rectangle is Base x Height and its the same thing as a parallelogram but the area of a triangle is Base x Height divided by 2 So unless its a parallelogram you just X all the sides.

you do it because the triangle is half the size of the parallelogram

... and the shape is? A triangle? A parallelogram?

It depends on the shape. A triangle and a parallelogram with these dimensions will have different areas.

To get the area it half breadth by height. A simplified thought on this is because the formula for the area of a parallelogram is length by width, and a triangle would be half of this

If it's a triangle, then the area is 20.If it's a rectangle, then the area is 40.If it's a parallelogram, then the area depends on how squashed it is.Each of these figures has a base and a height.

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