Sure. The area of a parallelogram is (length of base) times (vertical height).
Many pairs of numbers can have the same product, but if the (base / height)
of two parallelograms are different pairs of numbers, then their shapes are
different.
Example:
A rectangle is a parallelogram that's easy to work with.
Take two rectangles:
Rectangle #1: Length=6, Width=5, Area=30
Rectangle #2: Length=15, Width=2, Area=30
These rectangles certainly have different shapes. In #1, the length is 83% of
the width, and in #2, the length is only 13% of the width.
But they both have the same area.
That depends on the shape of the area. You can have different shapes that have the same area, but a different circumference.
Absolutely.
yes, for example:a 4 by 5 rectangle has an area of 20 and a perimeter of 18a 2 by 7 rectangle has an area of 14 and a perimeter of 18yes, for example:
You can't. The perimeter doesn't tell the area. There are an infinite number of shapes with different dimensions and different areas that all have the same perimeter.
Similar shapes are the same shape and not the same size but congruent shapes are exactly alike
Definitely. You can pick an area, and there are an infinite number of parallelograms, including an infinite number of rhombuses and an infinite number of rectangles, all with different shapes, that all have that same area. But there's only 1 square, and only 1 circle !
Yes - even shapes with different area.
No. A rectangle and a parallelograms are desciptions of quadrilateral shapes. There is no indication of the size of either. So some rectangles are smaller than some parallelograms and some parallelograms are smaller than some rectangles.
Because the area is different than the perimeters
Most shapes can have the same area and different perimeters. For example the right size square and circle will have the same are but they will have different perimeters. You can draw an infinite number of triangles with the same area but different perimeters. This is before we think about all the other shapes out there.
yes they can
MOst of it
True of False, any to parallelograms with the same side lengths have the same area?
That depends on the shape of the area. You can have different shapes that have the same area, but a different circumference.
It depends on the shape. There are different formulae for different shapes.
That two different shapes may well have the same perimeter, but different areas. As an example, a 3 x 1 rectangle and a 2 x 2 rectangle have the same perimeter, but the area is different.
Certainly. Infinitely many for any given area.