the area of rectangular field is 6000 m^2 . If the ratio of length and breadth is 3:2. find perimeter.
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Answer:-
Let the ratio be x
So, length = (3x)
breadth = (2x)
So, area = (length) × (breadth)
or, 6000 = (3x) × (2x)
or, x² = 1000
or, x = 10√10
So, length = 3 × (10√10) = 30√10 m
breath = 2 × (10√10) = 20√10 m
Hence, perimeter
= 2 × (length + breadth)
= {2 × (30√10 + 20√10)} m
= (2 × 50√10)m
= 100√10 m
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