Chapter 1.2, Problem 13PSB

To determine

To find: The length of $\overline{AB}$ .

Answer to Problem 13PSB

  $AB=22$ .

Explanation of Solution

Given information:

A figure is given as below. Perimeter of ABCD is $66$ and DC is twice as CB.

  

Calculation:

A figure is given as below.

  

In above figure, $DC=AB\text{ and }DA=CB$ .

Perimeter of ABCD is $66$ and DC is twice as CB.

  $\begin{array}{l}\text{So, }DC+CB+AB+DA=66\\ \Rightarrow 2CB+CB+2CB+CB=66\\ \Rightarrow CB=11\\ \text{Again, }AB=DC=2CB=22\end{array}$

Hence, $AB=22$ .