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The length of the three pieces are in ratio 3:4:5.
Let the lengths be 3x, 4x and 5x.
given that t
he length of the longest piece is 40 cm
thus 5x = 40
 or x = 40 
÷ 5 = 8 cm

length of longest rope = 3x = 5 
× 8 = 24cm