222,823 views
25 votes
25 votes
The figure below is a parallelogram. Find RQ.-1+4xPeO 15O 1004O 123x+3SR

The figure below is a parallelogram. Find RQ.-1+4xPeO 15O 1004O 123x+3SR-example-1
User Kedar Joshi
by
2.7k points

1 Answer

18 votes
18 votes

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

User Princey James
by
2.6k points