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.
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.
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 !
Draw a 10 x 20 rectangle.
The greatest area is when the rectangle is a square. A perimeter of 10cm equates to each side of square measuring 2.5cm and then the area = 2.52 = 6.25 sq cm. The least area occurs when the rectangle is shaped like a long, narrow slit. So that the length is as close to 5cm as possible and the width is as narrow as possible. Let's say that the length is 4.9 cm and the width 0.1 cm, then the area = 4.9 x 0.1 = 0.49 sq cm. If these dimensions are changed slightly to length 4.95 and width 0.05 then the area = 4.95 x 0.05 = 0.2475 sq cm. As the length gets closer to 5 then the width gets closer to 0 and the area becomes almost 0 sq cm.
If we restrict ourselves to whole numbers, then 1 x 14 will have the least possible area.
Yes, draw a 2 x 7 rectangle.
0.000...1cm length on two sides. 19.999...9cm length on the other two.
it is possible to draw a square that is a rectangle?
Yes 3x5
The rectangle has dimensions of [ 12 x 3 ].
The answer is, you can draw a rectangle with these measurements: 6cm and 9cm 5cm and 10cm 7cm and 8cm
10 ------------------------------- | | 0.5 -------------------------------
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Yes, draw a rhombus.
P = 12 = 2( l + w) A = 8 = l*w. Hence 6 = l + w 8 = l X w It follows w = 6 - l Substitute 8 = l X ( 6 - l Myltiply out 8 = 6l - l^(2) l^(2) - 6l + 8 = 0 It is now in Quadratic form ; Factor (l -4)( l -2) = 0 Hence ;(length) = 4 Widt = 2 .
9X2