Answer:
![y=28](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tc23gev8uh1v3eh9iiyp5i3lhboxcp15ox.png)
Step-by-Step Explanation:
Please refer to the attachment below.
So, notice that to find y, we simply need to determine x.
Remember that the area of a parallelogram is given by bh.
We can see that our base is x.
And our height h is half of 14. Therefore, h=7.
So, the area of one parallelogram is:
![A=7x](https://img.qammunity.org/2021/formulas/mathematics/high-school/hpczf37i1adeuod65pa36q4nrsk7vfd6nk.png)
Then the area of four parallelograms is:
![A=4(7x)=28x](https://img.qammunity.org/2021/formulas/mathematics/high-school/ux1ucjj47eu8po5o2gew9sjbxcfmbdcmd8.png)
Since the total area of the shape is 308 squared centimeters. This means that:
![308=28x](https://img.qammunity.org/2021/formulas/mathematics/high-school/xvn84rk9dkswg8s25e4iy4u4w4ap9qpxh5.png)
Therefore:
![x=11](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qnx576ueidzhej5xuoco015weayss0eaec.png)
Then it follows that:
![\begin{aligned} y&=2x+6\\ &=2(11)+6 \\ &=22+6 \\ &=28\end{aligned}](https://img.qammunity.org/2021/formulas/mathematics/high-school/c1xm226kzj76otyyx24ofxukjcycquxz4q.png)