Chapter 6.5, Problem 2C

To determine

To find $x$:

Answer to Problem 2C

The value of $x$ is 60 inches

Explanation of Solution

Given information:

Consider the given quarilaterals JKLM and PQRS,

Where JK $=36in\text{ JM=21 }in\text{ SP=35 }in\text{}\text{ PQ=}x$

And $JKLM\sim PQRS$

Calculation :

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

  $\frac{LM}{RS}=\frac{JK}{PQ}=\frac{JM}{PS}=\frac{KL}{QR}$

  $=\frac{36}{x}=\frac{21}{35}$

  $=>x=\frac{36\times 35}{21}$

  $x=60\text{ inches}$