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Q: How is the area of a parallelogram related to the area of a rectangle?

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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.

a parallelogram is a tilted rectangle

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.

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

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 ?"

The area of a rectangle

No. The area of a parallelogram varies infinitely from the maximum, as a rectangle, to virtually zero and the angles vary infinitely from 90 degrees to virtually zero or 180 degrees as the height of the parallelogram is reduced. There is no way to deduce the area of the parallelogram at any particular point in this transition by using the area of the rectangle alone.

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

width times height

Because the area of a parallelogram is length times perpendicular height and the area of a rectangle is also length times perpendicular height

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