Respuesta :

Given:

Quadrilaterals JKLM and PQRS are similar

We are told to solve for x of QR?

SOLUTION

To resolve for x, we will apply the ratio of a similar figure.

Therefore,

The formula for the ratio of similar figure is,

[tex]\frac{KL}{JM}=\frac{QR}{PS}[/tex]

Where,

[tex]KL=2,\text{ JM=7, QR=x, PS=11.2}[/tex]

Solving for x

[tex]\frac{2}{7}=\frac{x}{11.2}[/tex]

Cross-multiply

[tex]\begin{gathered} 2\times11.2=7\times x \\ \frac{22.4}{7}=\frac{7x}{7} \\ x=\frac{22.4}{7}=3.2 \\ \therefore x=3.2 \end{gathered}[/tex]

Hence,

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