The graph of $\displaystyle {y}={x}^{{2}}+{8}{x}+{12}$ is shown above. Use the method of Archimedes to find the area of the shaded region.

Answer: Area = square units.
Round your answer to two decimal places (hundredths).

Hint: If you can't read the axes labels, then use the light (grey) grid lines which are 1 unit apart on each axis. The vertex of the parabola is at (-4,-4).