Question

How many rectangles can be made with 18 cm perimeter?

Answer 1

Answer:

Actually there can be infinite number of rectangles. Let me explain,

perimeter = 2(L +B) = 18

⇒L +B = 9

now, we can take any positive number, can be fraction also.

It should be noted that L or B cannot be Zero, because if it is zero, then rectangle could not be formed.

If it is asked, the length and breadth can only be a natural number, then possible dimensions are (length,breadth) as (8,1), (7,2),(6,3),(5,4)

then only 4 rectangles are possible

Otherwise, infinite number of rectangles are possible.