The length of the segment DE is 5.6 cm and it is 4 \ 9 of the sum of the segment DE and KM

The length of the segment DE is 5.6 cm and it is 4 \ 9 of the sum of the segment DE and KM find the length of the segment KM

Given:
The length of the section DE is 5.6 centimeters.
The DE segment is 4/9 the sum of the DE and KM segment.

Let’s find how many centimeters are only one part of the sum:
5.6: 4 = 1.4 centimeters.
Let’s find what part is the CM segment:
9/9 – 4/9 = 5/9.
Let’s calculate the length of the KM segment:
5 * 1.4 = 7 centimeters.
Answer: the KM segment is 7 centimeters long.