Answer:
The width of the room to nearest foot
8 feet
Step-by-step explanation:
Ratio of length to width of the room Peter wants to add to his house = 9:4
Given length of the room = 17 feet
To find the width of the room.
Solution:
From the given data we know that the length and width of the room bear a common ratio which is 9:4
Let width of the room in feet be = 
Thus, the ratio can be given as:
⇒ 
Plugging in length of room in the equation = 17 feet.
Solving for 
⇒ 
Multiplying both sides by 4.
⇒ 
⇒ 
Multiplying both sides by 
⇒ 
⇒ 
Dividing both sides by 9.
⇒ 
∴ 
Thus, the width of the room to nearest foot
8 feet