Question

This is a parallelogram and I need help finding AB

Answer 1

The lenght of AB side is 4.

To be a parallelogram, the length of parallel sides must be the same. This is a propierty of parallelograms.

In a parallelogram:

$AB\parallel CD\Rightarrow AB=CD$

Now all we have to do is solve the equation:

$\begin{gathered} 4Q-8=Q+4 \\ 3Q=12 \\ Q=4 \end{gathered}$

Now we know the value of Q and we can replace it in AB=4Q-8

$\begin{gathered} AB=4\cdot4-8 \\ AB=8 \end{gathered}$

The lenght of AB is 8.

To be sure we can check what happends when we replace Q in CD=Q+4

$\begin{gathered} CD=4+4 \\ CD=8 \end{gathered}$

With this, AB=CD and we know we have the correct answer