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Home > CC2MN > Chapter 7 > Lesson 7.2.5 > Problem 7-109


2 equal length line segments: Top, with 4 sections, labeled, m, 1, 5, and 1. Bottom, with 3 sections, labeled, m, m, and 4. The diagram at right represents an acrobat’s sequence on a tightrope, where m represents the distance in feet that she covers each time she does a leap.  

  1. How long is each of her leaps? How can you tell?

    The diagram reveals that is the same distance as .
    Use these distances to create an equation that will allow you to solve for .

  2. Write and solve an equation to find the length of each leap.

    See part (a).

    Simplify the equation.

    Solve for .


  3. How long is the tightrope?

    Substitute in the equation with the answer you found in part (b).