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

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A parallelogram is just a rectangle leaned to one side

rectangle

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.

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

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.

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.

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

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.

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 ?"

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