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Start with a rectangle, which is a special type of a parallelogram. Suppose its height is A units and length is B units. Then its area is A*B sq units and its perimeter is 2*(A+B) units.
Now slide the top side horizontally, keeping the vertical height between the top and the bottom the same. The area will not change but the perimeter will increase because the sides have now become slanted and longer.
The rather griim figures below may help illustrate (the . are for spacing):
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Can a parallelogram and a rectangle have the same perimeters but different areas?
Yes.
What shapes have the same perimeter but different areas?
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.
Can shapes of the same area have different perimeters?
MOst of it
How shapes have the same area but different perimeter?
Because the area is different than the perimeters
Why can you have a shape with different perimeters but the same area?
they are different because perimeter is the out side of the shape and area is inside of the shape.
Can a parallelogram and a rectangle have the same perimeters but different areas?
Yes.
Is it true that the greater the perimeter the greater the area?
No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.
What shapes have the same perimeter but different areas?
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.
How two parallelograms could have the same area but different perimeters?
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:
Can shapes of the same area have different perimeters?
MOst of it
What is the ratio of the areas of an equilateral triangle and a circle if their perimeters are same?
It is 0.6046 : 1 (approx).
How can two rectangles have the same perimeters and different diagonals?
because it can
How shapes have the same area but different perimeter?
Because the area is different than the perimeters
Why can you have a shape with different perimeters but the same area?
they are different because perimeter is the out side of the shape and area is inside of the shape.
What is the perimeter of a rectangle whose area is 21?
That depends on the rectangle! You can have different rectangles with the same area, but with different perimeters.
What is the perimeter in meters of a 28 acre field?
The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.The perimeter for a certain area varies, depending on the figure. For example, a circle, different ellipses, a square, different rectangles, and different shapes of triangles, all have different perimeters or circumferences, for the same area.
What is the perimeter of 170 acres?
That depends on the exact shape. For the same area, you can have different perimeters, depending on the shape.
