The answer to this question could be 20 or 35.
* * * * *
or 12x - x2 square cm for any value of x between 0 and 6.
So any [positive] value less than 36 cm2 is a possibility.
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The perimeter and area don't depend on each other. Knowing one doesn't tell you the other. -- A circle with perimeter (circumference) of 20 cm has area of 31.83 cm2. -- A square with perimeter of 20 cm has area of 25 cm2 . -- A (9 x 1) rectangle has perimeter of 20 cm and area of 9 cm2 . -- A (8 x 2) rectangle has perimeter of 20 cm and area of 16 cm2 . -- A (7 x 3) rectangle has perimeter of 20 cm and area of 21 cm2 . -- A (6 x 4) rectangle has perimeter of 20 cm and area of 24 cm2 .
Area: 54 square cm Perimeter: 30 cm
The smallest perimeter is 4*sqrt(24) = approx 19.6 cm There is no largest perimeter.
7.5cm x 4.5cm
If the rectangle is a square, the perimeter is 48 cm. If not, there are a lot of possibilities.