The smallest possible perimeter of the garden will be [tex]24[/tex] cm.
What is area ?
Area is the product of length and breadth.
Area [tex]=Length*Breadth[/tex]
We have,
Area of garden [tex]=32[/tex] square feet
Now,
Find factors of [tex]32[/tex],
i.e. [tex]2,4,8,16,32[/tex]
So,
Lets take,
One side [tex]=4[/tex]
Second side [tex]=8[/tex]
So,
Perimeter [tex]=2(Length+Breadth)[/tex]
[tex]=2(4+8)[/tex]
Perimeter [tex]=24[/tex] cm
So, this is the smallest possible Perimeter .
Hence, we can say that the smallest possible perimeter of the garden will be [tex]24[/tex] cm.
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