a tree of height 4.5m broken into three pieces in the ratio 2:3:4.find the length of each pieces.
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Answer:
let one piece = 2x
second piece = 3x
third piece = 4x
according to the question (A.T.Q)
2x + 3x + 4x = 4.5m
9x = 4.5 m
x = 4.5/9
x= 0.5
so
one piece=2x=2×0.5= 1m
second piece = 3x = 3×0.5= 1.5m
third piece = 4x = 4 × 0.5 = 2m
verification
1m + 1.5m + 2m= 4.5m
also
1m:1.5m:2m = 2:3:4
hence verified
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