Chapter 6.5, Problem 7E

To determine

To find $x$:

Answer to Problem 7E

The value of $x$ is 15 mm

Explanation of Solution

Given information:

Consider the given quarilateralsLMNPand QRST,

Where LM $=45mm\text{ MN=25 }mm\text{ SR=}x\text{}\text{ QR=27}mm$

And $LMNP\sim QRST$

Calculation :

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

  $\frac{LM}{QR}=\frac{LN}{QS}=\frac{LP}{QT}=\frac{MN}{SR}=\frac{NP}{ST}=\frac{MP}{RT}$

  $=\frac{45}{27}=\frac{25}{x}$

  $=>x=\frac{25\times 27}{45}$

  $x=15\text{ mm}$