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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

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Q: The breadth of a rectanglar field is half its lengthif its area is 512 sqm.find its perimeter?
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