A square that is 4 units (e.g. inches, meters, etc.) on a side will meet these requuirements.
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.
Yes.
18cm is the area and perimeter. the width is 3cm.
The shortest perimeter for a given area occurs in a shape that is most efficient in enclosing that area, which is a circle. For polygons, the more sides a shape has, the closer its perimeter approaches that of a circle for the same area. In general, among all possible shapes with the same area, the circle minimizes the perimeter.
If the length and width of a rectangle are multiplied by the same number, then . . . -- the perimeter is multiplied by the same number -- the area is multiplied by the square of the numbner
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.
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.
(p/4)2, where p is the perimeter.
Yes.
NO, because if you did it would be a square
18cm is the area and perimeter. the width is 3cm.
The shortest perimeter for a given area occurs in a shape that is most efficient in enclosing that area, which is a circle. For polygons, the more sides a shape has, the closer its perimeter approaches that of a circle for the same area. In general, among all possible shapes with the same area, the circle minimizes the perimeter.
If the length and width of a rectangle are multiplied by the same number, then . . . -- the perimeter is multiplied by the same number -- the area is multiplied by the square of the numbner
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.
Only if they have the same number of sides.
Circle, square, triangle and rectangle of same perimeter. Which will have more area?? The circle will have the greatest area. For regular polygons, the greater the number of vertices, the greater the area. (And so, in the limit, the circle, with an infinite number of vetices, has the greatest area.)
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.