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
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What is a rectangle were the area is 10 and the perimeter
For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.
The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.
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.
The perimeter of a rectangle cannot be calculated by just knowing the area unless the rectangle is a square. In which case the perimeter will be 4 x square root of the area.