how many different rectangles can you make with 24 cm long string with integral sides and what are the sides of those rectangles in cm?
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With a 24 cm string you need to have 2 lengths and 2 widths covered.
2(l+w)=24.
So l+w=12.
The set of length and widths that satisfy this are (11,1),(10,2),(9,3),(8,4),(7,5),(6,6).
The last one will turn out to be a square a specific case of rectangle.
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