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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.
What else can I help you with?
Can a shape have the same area but not perimeter?
Most shapes have different perimeter than area, as far as value.
Can two shapes have the same perimeter?
Yes - even shapes with different area.
Area and perimeter of a rectangle?
Area is length times width, perimeter is twice the sum of length and breadth.
Can a shape have a perimeter numerically twice the size of the area?
Yes, a shape can have a perimeter that is numerically twice the size of its area. For example, consider a square with a side length of 2. Its perimeter would be 4 times 2, equaling 8, while its area would be 2 squared, equaling 4. In this case, the perimeter (8) is indeed twice the area (4).
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.
Can a shape have the same area but not perimeter?
Most shapes have different perimeter than area, as far as value.
Can two shapes have the same perimeter?
Yes - even shapes with different area.
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
The length of a rectangle is twice its width If the perimeter of the rectangle is 54y find its area?
The length of a rectangle is twice its width. If the perimeter of the rectangle is , find its area.
Area and perimeter of a rectangle?
Area is length times width, perimeter is twice the sum of length and breadth.
Can a shape have a perimeter numerically twice the size of the area?
Yes, a shape can have a perimeter that is numerically twice the size of its area. For example, consider a square with a side length of 2. Its perimeter would be 4 times 2, equaling 8, while its area would be 2 squared, equaling 4. In this case, the perimeter (8) is indeed twice the area (4).
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.
Can a shape have the perimeter numerically twice the size of the area?
Yes it can. Because Area is EVERYTHING! And perimeter is only the outside.
Is area always more or equal to the perimeter in a square?
The area of a square is equal to twice the square's perimeter.
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.
Can you draw a shape that the perimeter is numerically twice the area?
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).
