There are an infinite number of them. You can draw any shape at all, and I can shrink it or
blow it up so that it has an area of 10.5 sq cm.
If it's a square, then each side of it is 3.24 cm long (rounded).
If it's a circle, then it has a diameter of 3.656 cm (rounded).
If it's a rectangle a mile long, then it's 0.0000652cm wide (rounded).
But it can be any shape that you happen to like today.
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Any closed shape can have an area of 47 sq cm.
1 km = 105 cm so 1 sq km = (105)2 = 1010 or 10 billion sq cm.
A rectangle with dimensions 3 cm by 2 cm would meet the criteria. The perimeter is calculated as (2(length + width) = 2(3 + 2) = 10) cm, which does not satisfy the requirement. However, a rectangle with dimensions 4 cm by 1 cm has a perimeter of 10 cm and an area of 4 sq cm. A shape like a triangle with a perimeter of 12 cm and an area of 6 sq cm could be a right triangle with sides of 3 cm, 4 cm, and 5 cm.
The area will depend upon the shape itself - a perimeter of 100 cm could be a square 25 cm by 25 cm (area 25 cm × 25 cm = 625 cm²) or a rectangle 30 cm by 20 cm (area 30 cm × 20 cm = 600 cm²) or any other shape. The maximum area is a circle with a circumference of 100 cm which has an area of approx 795.77 cm² Which means any shape with a perimeter of 100 cm has an area which is less than or equal to approx 795.77 sq cm.
A rectangle with a perimeter of 12 cm and an area of 6 sq cm can meet these criteria. For example, it could have dimensions of 3 cm by 2 cm, since the perimeter (2 × (3 + 2) = 10 cm) is 12 cm and the area (3 × 2 = 6 sq cm) is 6 sq cm. Other shapes, like certain irregular quadrilaterals, could also fulfill these requirements, but a rectangle is the most straightforward example.