Chapter 5, Problem 4RP

To determine

Find the length of $PK$ .

Answer to Problem 4RP

  $3unit$

Explanation of Solution

Given information:

  

  $JKMP$ is a rectangle.

  $\begin{array}{l}PK=0.2x\\ JM=x-12\end{array}$

Calculation:

Consider the property of rectangle,

  $\begin{array}{l}PK=JK\\ putthevalues,\\ 0.2x=x-12\\ multiplybothsideby5\\ x=5x-60\\ 4x=60\\ x=15\end{array}$

Now the length of $PK$ will be,

  $PK=0.2\times 15=3unit$

Hence, the length of $PK$ is $3unit$ .