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What are all the possible dimensions of a rectangle that has a perimeter of 18 cm?
Devilstermanator
If you are looking for dimension in whole numbers only, and understanding that rectangles must have opposing sides equal and 4 right angles:
The answer to your question is most easily determined by assigning the dimension of 1cm (the smallest possible whole unit) to two of the sides. This means that the other two sides must each be 8cm. Because 18-1-1=16. 16/2 = 8. So the dimensions of the first rectangle would be 1cmX8cm. If the next rectangle were assigned a dimension of 2cm to two of the sides, the longer sides would each be 7cm. Because 18cm-2-2=14. And 14/2=7. If the next rectangle had short sides of 3cm, it would have long sides of 6cm. So you see, for every 1cm that the short sides are increased, the long side must be decreased by 1cm.
So the dimensions would look like this:
1x8
2x7
3x6
4x5
at this point the lengths of the sides invert
5x4
6x3
7x2
8x1
It could be said that there are 4 possible sizes of a rectangle (in whole numbers), or it could be said that there are 8 if you consider the inverse dimensions to differ because they refer to different sides.
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∙ 12y ago
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Does the perimeter of a rectangle change when you double the dimensions?
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What is the relationship for perimeter and area for rectangle?
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What is the perimeter of 1437 square meters?
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If The area of a rectangle is 176 sq cm what is the perimeter?
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