Answer:
The width of the room to nearest foot
8 feet
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