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How many b?

Updated: 12/22/2022
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How many rectangles have the perimeter of 24cm?

Infinitely many. Let B be any number less than 6 cm, and let L = 12-B cm. Then the perimeter of the rectangle, with length L and breadth B, is 2*[L+B] = 2*[(12-B)+B] = 2*12 = 24 cm. There are infinitely many possible values for B, between 0 and 6 and so there are infinitely many possible rectangles.


How many different rectangles have a perimeter of 24 gronks?

There are infinitely many such rectangles.Consider any positive number, B which is less than 6 gronks. Let L be 12-B gronnks. Then L > 6 and so no ordered pairs (L, B) will be equal to a (B, L).Any rectangle with length L gronks and breadth B gronks will have a perimeter of 2*(L+B) = 2*12 = 24 gronks.Since the choice of B was arbitrary there are infinitely many choices for B and since each value of B gives a unique rectangle, there are infinitely many rectangles.As many as you want.