On the segment DF, point E is taken, while the length of EF is 5/3 of the length of the segment DE.

univerkov | September 3, 2021 | education

On the segment DF, point E is taken, while the length of EF is 5/3 of the length of the segment DE. find the length of the segment DF if the length of the segment DE is 18 cm less than the length of the segment EF.

To solve this problem, we introduce a conditional variable “X”, through which we denote the length of the segment DE.

Then, the length of the segment DF will be 5X / 3 centimeters.

Then, based on the data of the problem, we will compose the following equation: 5X / 3 – X = 18.

Solving this equation, we get 2X / 3 = 18 or X = 3 x 9 or X = 27 centimeters.

Then, the length of DF will be equal to (27 x 5) / 3 = 45 centimeters.

Therefore, the length of the entire segment will be 45 + 27 = 72 centimeters.

Answer: 72 centimeters.

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