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let the breadth be 1/2x and length be x
l x b = area
X x 1/2x = 512
1/2x2 = 512
x2 = 512 x 2
x2 = 1024
x = 32
length=32 m & breadth=16 m
perimeter=2 x{l+b}
=2 x {32+16}
=2 x 48
perimeter = 96m