how many rectangles can be drawn with perimeter of each rectangle as 16 cm (take length and breath as whole numbers)
Answers
Answered by
20
Actually there can be infinite number of rectangles. Let me explain
you clearly
,
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.
you clearly
,
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.
Aaarusi:
I understand
Answered by
12
Perimeter =16
2(l+b)=16
l+b=8
So u can combine length and breadth
so that their sum is 8 in many ways to get perimeter of 16
2(l+b)=16
l+b=8
So u can combine length and breadth
so that their sum is 8 in many ways to get perimeter of 16
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