Assuming no fractional dimensions, least possible area would be a rectangle measuring 1cm x 9cm. Area increases to a maximum of 25 sq cm when shape is square, ie 5cm x 5cm.
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The rectangle would have a width of 2 and a length of 4.
Draw it with dimensions of (6 cm) by (3 cm).
Since the perimeter is 18, the sum of the length and breadth is 18/2 units = 9 units. Draw a straight line on the grid of less than 9 units. At right angles to that line, draw another line so that the two lines have a combined length of 9 units. These two lines are the two adjacent lines of the rectangle. Use the grid to draw line parallel to these so that you have a rectangle.
Draw a 10 x 20 rectangle.
It depends what units you use for each side ! A 1cm x 15cm rectangle has a perimeter of 16cm. So does a 2cm x 4cm one ! If you start using millimetres, there are many more possibilities !