5 kinds can be made:
(width x length)
1 x 16
2 x 8
4 x 4
8 x 2
16 x1
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These are not similar rectangles so there is no obvious candidate for the ratio. Is it ratio of lengths (sides, perimeter, diameter), or ratio of area?
Perimeter = 2 x (width + length)⇒ 12 = 2 x (width + length)⇒ width + length = 6⇒ the rectangles could be:1 by 52 by 43 by 3[A square is a rectangle with equal sides.]
To determine if the ratio of length to width for two rectangles is proportional, you need to compare the ratios of their lengths to widths. If the ratios are equal, then the rectangles are proportional. For example, if Rectangle A has a length of 10 units and a width of 5 units (ratio of 10:5 or 2:1), and Rectangle B has a length of 20 units and a width of 10 units (ratio of 20:10 or 2:1), then the rectangles are proportional because the ratios are equal.
For rectangles with the same perimeter, the sum of the length and width is constant, as it is directly related to the perimeter formula (P = 2(length + width)). However, even though they share the same perimeter, rectangles can have different areas depending on the specific values of length and width. This means that while the sum of length and width remains unchanged, the individual dimensions can vary to produce different areas.
There are an infinite number of different rectangles that all have lengths of 8. In order to narrow it down to the right one, you need to know something else about it, like the perimeter, or the area, or the length of the diagonal.