Answer: OPTION C
Step-by-step explanation:
The missing figure is attached.
Observe in the figure that the shape of Megan's old room was an square.
The area of square can be found with this formula:
[tex]A=s^2[/tex]
Where "s" is the length of any side of the square.
In this case you know that:
[tex]s=4\ m[/tex]
Then, subsituting this value into the formula, you get that the area of her room was the following:
[tex]A=(4\ m)^2\\\\A=16\ m^2[/tex]
As you can see in the figure, now the shape of Megan's new room is rectangular.
The area of a rectangle can be found with this formula:
[tex]A=lw[/tex]
Where "l" is the length and "w" is the width of the rectangle.
You can identify in the figure that:
[tex]l=4+x\\\\w=4[/tex]
Therefore, you can write the following equation to represent the new area of Megan's room:
[tex]4(4+x)[/tex]
