Best Answer

a parallelogram is a tilted rectangle

Q: Why do the parallelogram and the rectangle have the same area?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

draw a parallelogram which is not a rectangle.verify that its area is equal to the rectangle on the same base and altitude

Not necessarily. In fact, if a rectangle and parallelogram have the same base and height, their areas are equal.

The area of a parallelogram is equal to base times height. You can find the maximum area of a parallelogram by multiplying the length of a short side by the length of a long side. (This would be the area if the parallelogram were a rectangle.)You cannot know the area of a parallelogram if all you know is the length of the sides; you can only know the maximumpossible area. Imagine you slant the parallelogram a lot. The area will decrease, but the side lengths will stay the same.

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.

A rectangle is a special case of a parallelogram

Related questions

A parallelogram is just a rectangle leaned to one side

Yes it can. For one thing, a rectangle is a parallelogram so of course the answer is trivially yes. Now take a parallelogram that is not a rectangle. Area =basexheight These values can certainly be the same as the lenght of the sides of a rectangle.

rectangle

draw a parallelogram which is not a rectangle.verify that its area is equal to the rectangle on the same base and altitude

A rectangle is a parallelogram but a parallelogram need not be a rectangle and so they are not the same.

Not necessarily. In fact, if a rectangle and parallelogram have the same base and height, their areas are equal.

Yes.

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.

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 area of a parallelogram is the length of the 'base' times the altitude. In a rectangle, which is a special case of parallelogram, the altitude is maximum length and also is equal in length to the other side.

In a parallelogram, the opposing sides are parallel. A rectangle is a type of parallelogram.

A big parallelogram has more area than a small rectangle. A small parallelogram has less area than a big rectangle. The question is a lot like asking: "Which one is older, a dog or a cat ?"