The 3.6 cm segment AB is divided by point C in a ratio of 4: 5. What is the length of each piece?

To solve this problem, we will use the conditional variable “Y”, through which we denote the length of one conditional part.

At the next stage, using the information of the problem, we form the following equation: 4U + 5U = 3.6.

The result of solving this equation will be 9Y = 3.6 or Y = 3.6 / 9 = 0.4 centimeters.

Therefore, 4 parts will be equal to 4 x 0.4 = 1.6 centimeters, and 5 parts will be 5 x 0.4 = 2 centimeters.

Answer: the segment was divided into parts 1.6 and 2 centimeters, respectively.

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