the length of diagonal of a rectangular land is 15 mts and the difference of length and breadth is 3 m . calculate the perimeter
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diagnol,d=√l²+b²=15 (given )
Squaring on both sides,we get
l²+b²=225
l-b=3 (given )
squaring on both sides,we get
l²+b²-2*l*b = 9
225-9=2*l*b
so,. l*b=108
now, ( l+b )² = l²+b²+2*l*b
= 225 +2*108
=441
so, l+b = 21
perimeter = 2*(l+b)
= 2*21
= 42 m
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