Question

The figure below is a parallelogram. Find RQ.-1+4xPeO 15O 1004O 123x+3SR

Answer 1

We have a parallelogram and we have to find the length of side RQ.

Opposite sides of a parallelogram besides being parallel, they also have the same length.

Then, we can write:

`PS=QR`

We can use that to find the value of x as:

`\begin{gathered} PS=QR \\ -1+4x=3x+3 \\ 4x-3x=3+1 \\ x=4 \end{gathered}`

Knowing x = 4, we can find RQ as:

`QR=3x+3=3(4)+3=12+3=15`

Answer: QR = 15