Question

Quadrilateral KLMN is similar to quadrilateral OPQR. Find the measure of side QR. Figures are not drawn to scale.

Answer 1

Given

Two quadrilateral KLMN is similar to quadrilateral OPQR.

Find

Length of side QR

Step-by-step explanation

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

so ,

`(KL)/(OP)=(MN)/(QR)=(ML)/(QP)=(NK)/(RO)`

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

so , we take the ratio of

`\begin{gathered} (MN)/(QR)=(ML)/(QP) \\ (25.5)/(QR)=(51)/(17) \\ QR=8.5 \end{gathered}`

Final Answer

the length of side QR = 8.5