#### Answer

AB = 10.9

#### Work Step by Step

According to the problem AB = BC = CD, therefore we can substitute x in for all three line segments.
Step 1: AB + BC + CD = AD
Step 2: x + x + x = AD
Step 3: Substitute 32.7 for AD.
x + x + x = 32.7
Step 4: Simplify the left side of the equation.
3x = 32.7
Step 5: Divide both sides by 3.
$\frac{3x}{3}$ = $\frac{32.7}{3}$
Step 6: Simplify. x = 10.9
AB = 10.9