Question

The quadrilaterals JKLM and PQRS are similarFind the length x of QR.

Answer 1

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,

`(KL)/(JM)=(QR)/(PS)`

Where,

`KL=2,\text{ JM=7, QR=x, PS=11.2}`

Solving for x

`(2)/(7)=(x)/(11.2)`

Cross-multiply

`\begin{gathered} 2*11.2=7* x \\ (22.4)/(7)=(7x)/(7) \\ x=(22.4)/(7)=3.2 \\ \therefore x=3.2 \end{gathered}`

Hence,