Chapter 6.5, Problem 8E

To determine

To find KL:

Answer to Problem 8E

The value of KL is 9cm.

Explanation of Solution

Given information:

Consider the given quarilateralsABCD and KLMJ,

Where AB $=7.2cm\text{ AD=11}\text{.2 }cm\text{ KL=}x\text{}\text{ KJ=14 }cm$

And $ABCD\sim KLMJ$

Calculation :

Since both the quadrilaterals are similar,then the ratio of their corresponding sides will also be equal.

  $\frac{AB}{KL}=\frac{AC}{KM}=\frac{AD}{KJ}=\frac{BC}{LM}=\frac{BD}{LJ}=\frac{CD}{MJ}$

  $=\frac{7.2}{x}=\frac{11.2}{14}$

  $=>x=\frac{7.2\times 14}{11.2}$

  $x=9cm$