Answer :

Given

Two quadrilateral KLMN is similar to quadrilateral OPQR.

Find

Length of side QR

Explanation

we know that if two quadrilateral are similar then the ratio of their corresponding sides are equal.

so ,

[tex]\frac{KL}{OP}=\frac{MN}{QR}=\frac{ML}{QP}=\frac{NK}{RO}[/tex]

So , we have given the values of NM = 25.5, ML = 51 , QP = 17

so , we take the ratio of

[tex]\begin{gathered} \frac{MN}{QR}=\frac{ML}{QP} \\ \frac{25.5}{QR}=\frac{51}{17} \\ QR=8.5 \end{gathered}[/tex]

Final Answer

the length of side QR = 8.5

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