Answer:
D
Explanation:
The dimensions of the portrait are attached.
The total area of the portrait is represented by its width 5+x and its length x+1.
We know by definition that the area of a rectangle is
![A= w * l](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tc6pewy4nn90plxqus5x1uqm7vvw6g2552.png)
Where
is the width and
is the length.
Using the given expressiones, we have
![A=(5+x)(x+1)=5x+5+x^(2) +x=x^(2) +6x+5](https://img.qammunity.org/2021/formulas/mathematics/high-school/35o4uchtraj5062t8dke298uni1u1dkge3.png)
Therefore, the right answer is D.