Answer:
[tex]y=28[/tex]
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:
[tex]A=7x[/tex]
Then the area of four parallelograms is:
[tex]A=4(7x)=28x[/tex]
Since the total area of the shape is 308 squared centimeters. This means that:
[tex]308=28x[/tex]
Therefore:
[tex]x=11[/tex]
Then it follows that:
[tex]\begin{aligned} y&=2x+6\\ &=2(11)+6 \\ &=22+6 \\ &=28\end{aligned}[/tex]
