Take a square with sides that are 4 units long.
The area is the square of the length of the side = 4 x 4 = 16.
The perimeter is length + width + length + width = (4 + 4 + 4 + 4) = 16.
It also works if the side of the square has a length of zero, which is
nice math but has no physical significance.
Knowing the area doesn't tell you the perimeter. There are an infinite number of different sizes and shapes with different perimeters that all have the same area. The shortest possible perimeter for any area is a circle. The shortest possible perimeter for any area with straight sides is a square. And also by the way, there are many different units for area. "Feet" is not one of them. "Square feet" is.
A square that is 4 units (e.g. inches, meters, etc.) on a side will meet these requuirements.
For a given perimeter, its a square.
If a square has an area of 151.29cm2 its perimeter is: 49.2 cm
42 square units.
Knowing the area doesn't tell you the perimeter. There are an infinite number of different sizes and shapes with different perimeters that all have the same area. The shortest possible perimeter for any area is a circle. The shortest possible perimeter for any area with straight sides is a square. And also by the way, there are many different units for area. "Feet" is not one of them. "Square feet" is.
There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area.
To be perfectly correct about it, a perimeter and an area can never be equal.A perimeter has linear units, while an area has square units.You probably mean that the perimeter and the area are the same number,regardless of the units.It's not possible to list all of the rectangles whose perimeter and area are thesame number, because there are an infinite number of such rectangles.-- Pick any number you want for the length of your rectangle.-- Then make the width equal to (double the length) divided by (the length minus 2).The number of linear units around the perimeter, and the number of square unitsin the area, are now the same number.
For a given perimeter, the circle has the largest area possible.
NO, because if you did it would be a square
The perimeter of a polygon is not generally equal to the number of square units contained in its interior, which is the definition of the area of the polygon, not of its perimeter. By coincidence, the area and perimeter of a square four units on each side have the same magnitude, 16, but the perimeter is 16 units and the area is 16 square units .
A square that is 4 units (e.g. inches, meters, etc.) on a side will meet these requuirements.
A square with an area of 400 square units has a perimeter of 80 units.
For a given perimeter, its a square.
The area of a square is a function of the perimeter of the square.
Yes, it is possible for the area to be smaller than the perimeter. In geometric terms, the area of a shape is the measure of the space inside the shape, while the perimeter is the sum of the lengths of all the sides. For certain shapes, such as rectangles with very elongated proportions, it is possible for the perimeter to be larger than the area.
If the area of a square is 12 the perimeter is: 13.86