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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.
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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.
How do you find the perimeter and area of an irregular shape?
You break it up into smaller shapes which are less irregular. If these are more regular, you can calculate their contribution to the perimeter, and their area. You can then add these together.
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.
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.
What shapes have a perimeter of 15 and an area of 16?
5x3
Can shapes with the same area have different perimeter?
yes they can
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
How do you figure out the area 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.
