Question 883287
The ratio is 4:7 so that means the two pieces are 4x and 7x ft long. They add to 66. So,



4x + 7x = 66



11x = 66



x = 66/11



x = 6



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4x = 4*6 = 24



7x = 7*6 = 42



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The lengths of the two pieces are 24 ft and 42 ft