Answer:
Option D - 7 inches.
Explanation:
Given : Refer the figure.
To find : What is the value of x ?
Solution :
A student sketched some art on an 8.5 inch × 11 inch piece of paper.
He wants to resize it to fit an 5 inch × x inch frame.
According to question,

Solving by cross multiplication,



Approximate, the value of x is 7 inches.
Therefore, option D is correct.