0
If the shapes are similar, such are all circles or all squares, those with the largest perimeters would also have the largest areas. However, in general there is no direct relation. For example a 2 by 2 rectangle has an area of 4 and a perimeter of 8, but a 2000 by 0.0005 rectangle has an area of 1 and a perimeter of 4000.001.
Add your answer:
Earn +20 pts
Is it possible for two shapes to have the same area but different perimeters?
Yes it is possible. Consider these two shapes with the same area: a 2-inch square and a 1-inch x 4-inch rectangle both have the same area of 4 sq inches. However, the square has a perimeter of 8 inches while the rectangle has a perimeter of 10 inches. By the way, the shape with the largest area for a given perimeter is a circle.
How do you determine the area of a rectangle if you know the perimeter?
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.
Shapes with the same area do they have the same perimeter?
No.Rectangle 5 x 10. Area = 50. Perimeter = 30.Rectangle 2 x 25. Area = 50. Perimeter = 54.
With the same perimeter which shape will have largest area?
A circle.
How do you find area and perimeter?
For the area of a square, it is the base x the height, and the perimeter is 2height+2base. For the area of a triangle, it is base x height divided by two. And to find the perimeter you just add up each of the side lengths.
Does a circle have more area space than other shapes?
Yes, for a fixed perimeter, a circle contains the largest area.
What do you notice about the area of shapes that have the same perimeter?
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.
Can two shapes have the same perimeter?
Yes - even shapes with different area.
Can a shape have the same area but not perimeter?
Most shapes have different perimeter than area, as far as value.
How many shapes have an area of 5 and a perimeter of 12?
There are infinitely many shapes.
Can shapes with the same area have different perimeter?
yes they can
If two shapes have the same perimeter will they have the same area?
Not at all. For example:A square of 2 x 2 will have a perimeter of 8, and an area of 4. A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero. The circle has the largest area for a given perimeter/circumference.
What shapes have a perimeter of 15 and an area of 16?
Oh, what a happy little question! Let's think about shapes that could have a perimeter of 15 and an area of 16. One shape that comes to mind is a rectangle with dimensions 4 by 4. Another possibility is a square with sides of length 4. These shapes show us that there can be different ways to create beautiful combinations of perimeter and area.
Is it possible for two shapes to have the same area but different perimeters?
Yes it is possible. Consider these two shapes with the same area: a 2-inch square and a 1-inch x 4-inch rectangle both have the same area of 4 sq inches. However, the square has a perimeter of 8 inches while the rectangle has a perimeter of 10 inches. By the way, the shape with the largest area for a given perimeter is a circle.
What is the area and perimeter of a cylinder?
There is no perimeter of a circle. Only flat shapes have perimeters. You can however, find the circumference, surface area, and volume.
What is the largest area that you can have if the perimeter is 24 feet?
You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.You get the largest area with a circle. Divide the perimeter by (2 x pi), then calculate the area with the formula pi x radius2.
How shapes have the same area but different perimeter?
Because the area is different than the perimeters
