The area of parallelogram $DEFG$ is 143 square units. The base of the parallelogram, $DG$, is 13 units. We need to find the height ($x$) of the parallelogram and round to the nearest tenth if necessary.

1. Problem Description

The area of parallelogram $DEFG$ is 143 square units. The base of the parallelogram, $DG$, is 13 units. We need to find the height ($x$) of the parallelogram and round to the nearest tenth if necessary.

2. Solution Steps

The formula for the area of a parallelogram is:

$Area = base \times height$

In this problem:

$Area = 143$

$base = 13$

$height = x$

Substituting the values into the formula:

$143 = 13 \times x$

To find the height $x$, divide both sides of the equation by 13:

$x = \frac{143}{13}$

$x = 11$

3. Final Answer

The height of the parallelogram is 11 units.

So, the answer is A.