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a parallelogram is a tilted rectangle

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Q: Why do the parallelogram and the rectangle have the same area?
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Draw a rectangle that is not a parallelogram?

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


Why is the area of a rectangle greater than that of a parallelogram?

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


How can you find the area of a parallelogram if you only know the side lengths?

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.


Can a triangle have the same perimeter and area as a parallelogram?

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.


Is a rectangle always going to be a parallelogram?

A rectangle is a special case of a parallelogram