We are given two quadrilaterals ABCD and JKLM which are similar. For similar quadrilaterals, the sides of the quadrilateral are congruent. We use the formula below
![(JM)/(AD)=(KL)/(BC)](https://img.qammunity.org/2023/formulas/mathematics/college/50ssfeyaw1ttcpuj85xfph5d0v4x9m1u50.png)
Where JM=3.2, AD=4, KL=x, BC=7
We then substitute the necessary parameters into the formula above.
![\begin{gathered} (3.2)/(4)=(x)/(7) \\ we\text{ crossmultiply} \\ 4x=7*3.2 \\ 4x=22.4 \\ \text{Divide both sides by 4} \\ (4x)/(4)=(22.4)/(4) \\ x=5.6 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/cnpnn65j9yeoqv5wlpe1sz5sbz7msse265.png)
The length of x is
ANSWER: x=5.6