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?

   Hint (a):

   The diagram reveals that $m+1+5+1$ is the same distance as $m+m+4$.
   Use these distances to create an equation that will allow you to solve for $m$.

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

   Hint (b):

   See part (a).

   Step 1 (b):

   $m+1+5+1=m+m+4$

   Step 2 (b):

   Simplify the equation.
   $7+m=4+2m$

   Step 3 (b):

   Solve for $m$.

   Answer (a):

   $m=3$ feet

3. How long is the tightrope?

   Hint (c):

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

   Answer (c):

   $10$ feet