A line segment that has a length of 115   centimeters   ( cm ) is divided into three parts.

Question

A line segment that has a length of 115 &#160; centimeters &#160; ( cm ) is divided into three parts. One part is 47 &#160; cm long. The other two parts have lengths that are equal to each other. What is the length, in cm , of one of the other two parts of equal length?

Accepted Answer

The correct answer is 34 . It&rsquo;s given that a line segment has a length of 115 &#160; cm and is divided into three parts, where one part is 47 &#160; cm long and the other two parts have lengths that are equal. If x represents the length, in cm, of each of the two parts of equal length, then the equation 47 + x + x = 115 , or 47 + 2 x = 115 , represents this situation. Subtracting 47 from each side of this equation yields 2 x = 68 . Dividing each side of this equation by 2 yields x = 34 . Therefore, the length, in cm, of one of the two parts of equal length is 34 .

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