The number of such rectangles is always infinite.
Select any length, B such that 0 < B ≤ P/2 units of length and let L = P/2 - B.
Then a LxB rectangle has perimeter 2*(L+B) = 2*(P/2 - B + B) = 2*(P/2) = P.
B was chosen arbitrarily from an infinite number of possible values and so there are infinitely many possible solutions.
See discussion section for further thoughts.
You can't tell the dimensions from the perimeter. There are an infinite number of different rectangles, all with different lengths and widths, that all have the same perimeter.
There is an infinite number that can have that perimeter
3
The area doesn't tell you the dimensions or the perimeter. It doesn't even tell you the shape. -- Your area of 36 cm2 could be a circle with a diameter of 6.77 . (Perimeter = 21.27.) -- It could be a square with sides of 6 . (Perimeter = 24.) -- It could be rectangles that measure 1 by 36 (Perimeter = 74) 2 by 18 (Perimeter = 40) 3 by 12 (Perimeter = 30) 4 by 9 (Perimeter = 26). There are an infinite number of more rectangles that it could be, all with the same area but different perimeters.
You can't tell the dimensions from the perimeter. There are an infinite number of rectangles, with different dimensions, that all have the same perimeter. If it's 168, then the only thing you can be sure of is that the length and width add up to 84, but you can't tell what either of those dimensions must be.
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.
You can't tell the dimensions from the perimeter. There are an infinite number of different rectangles, all with different lengths and widths, that all have the same perimeter.
There is an infinite number that can have that perimeter
There would be an infinite number of rectangles possible
perimeter = 2 (b+h) = 20 there are an infinite number of rectangles that meet the requirement
3
The area doesn't tell you the dimensions or the perimeter. It doesn't even tell you the shape. -- Your area of 36 cm2 could be a circle with a diameter of 6.77 . (Perimeter = 21.27.) -- It could be a square with sides of 6 . (Perimeter = 24.) -- It could be rectangles that measure 1 by 36 (Perimeter = 74) 2 by 18 (Perimeter = 40) 3 by 12 (Perimeter = 30) 4 by 9 (Perimeter = 26). There are an infinite number of more rectangles that it could be, all with the same area but different perimeters.
5
You can't tell the linear dimensions from knowing only the area. There are an infinite number of shapes that all have the same area. Even if you consider only rectangles, there are still an infinite number of different rectangles, all with different lengths and widths, that all have areas of 5,000 acres.
You can't tell the perimeter from the area. There are an infinite number of different shapes,all with different perimeters, that have the same area. Even if you only consider rectangles,there are still an infinite number of those that all have the same area and different perimeters.Here are a few rectangles with area of 6 square feet:Dimensions ... Perimeter0.75 x 8 . . . . . . 17.51 x 6 . . . . . . . . 141.5 x 4 . . .. . . . 112 x 3 . . . . . . . . 10
You can't tell the dimensions from the perimeter. There are an infinite number of rectangles, with different dimensions, that all have the same perimeter. If it's 168, then the only thing you can be sure of is that the length and width add up to 84, but you can't tell what either of those dimensions must be.
You can't tell the area from knowing the perimeter. There are an infinite number of different rectangles, all with the same perimeter, that all have different areas. Here are a few rectangles that all have perimeters of 42. The last number after each one is its area: 1 cm by 20 cm . . . . . 20 square centimeters 2 x 19 . . . . . 38 3 x 18 . . . . . 54 4 x 17 . . . . . 68 5 x 16 . . . . . 80 10 x 11 . . . 110