If you're working with rectangles, pick any width (must be greater than 4),
then make the length . . . (4 x width) divided by (width - 4).
Perimeter = 2L + 2W
Area = L W
W . . . . L . . . . P . . . . A
5 . . . . 20 . . . 50 . . . 100
6 . . . . 12 . . . 36 . . . 72
7 . . . .28/3 . . 322/3 . . 651/3
8 . . . . 8 . . . . 32 . . . . 64
9 . . . . 7.2 . . 32.4 . . . 64.8
10 . . .20/3 . . 331/3 . . 662/3
etc.
Yes it can. Because Area is EVERYTHING! And perimeter is only the outside.
Yes, a shape can be drawn where the perimeter is numerically twice the area. A classic example is a rectangle with dimensions 2 units by 1 unit. The perimeter of this rectangle is 2(2 + 1) = 6 units, while the area is 2 × 1 = 2 square units. Here, the perimeter (6) is indeed twice the area (2).
Some do: a square 2 units on a side, for example, has area 4 units, perimeter 8.
Sometimes. Experiment with a small square and with a large square (though any shape rectangle will do). A square of 4 x 4 has a perimeter of 16, and an area of 16. A smaller square has more perimeter than area. A larger square has more area than perimeter.
No, a shape with a smaller perimeter does not always have a smaller area. The relationship between perimeter and area depends on the specific shape in question. For example, a square with a perimeter of 12 units will have a larger area than a rectangle with the same perimeter. The distribution of perimeter and area varies based on the shape's dimensions and proportions.
Yes it can. Because Area is EVERYTHING! And perimeter is only the outside.
Yes, a shape can be drawn where the perimeter is numerically twice the area. A classic example is a rectangle with dimensions 2 units by 1 unit. The perimeter of this rectangle is 2(2 + 1) = 6 units, while the area is 2 × 1 = 2 square units. Here, the perimeter (6) is indeed twice the area (2).
Some do: a square 2 units on a side, for example, has area 4 units, perimeter 8.
Well, isn't that a happy little challenge! To draw a shape where the perimeter is twice the area, you can start with a rectangle. Let's say the length is 4 units and the width is 1 unit. The perimeter would be 10 units (4+4+1+1) and the area would be 4 square units (4x1). Keep painting those shapes and exploring the joy of numbers!
No, but I can tell you that an 8 x 8 square has an area of 64 and a perimeter of 32.
Sometimes. Experiment with a small square and with a large square (though any shape rectangle will do). A square of 4 x 4 has a perimeter of 16, and an area of 16. A smaller square has more perimeter than area. A larger square has more area than perimeter.
perimeter is when you have a shape and then you have your area and that is what is in the middle of the shape and perimeter is the edge of the shape.
No, a shape with a smaller perimeter does not always have a smaller area. The relationship between perimeter and area depends on the specific shape in question. For example, a square with a perimeter of 12 units will have a larger area than a rectangle with the same perimeter. The distribution of perimeter and area varies based on the shape's dimensions and proportions.
A shape where the perimeter is twice the area is a square. If we denote the side length of the square as ( s ), the perimeter ( P ) is ( 4s ) and the area ( A ) is ( s^2 ). Setting the perimeter equal to twice the area gives the equation ( 4s = 2s^2 ), which simplifies to ( s^2 - 2s = 0 ). This means ( s(s - 2) = 0 ), indicating that the side length can be 0 or 2, so a square of side length 2 has a perimeter of 8 and an area of 4, satisfying the condition.
No , perimeter is the measurement outside of the shape; the border. Area is the measurement of inside of the shape.
Perimeter and area are not sufficient to determine the shape of a figure.
Area is the amount of square units in a 2-D shape, and perimeter is the distance around a shape