Answer :
Answer:
The width of the room to nearest foot [tex]\approx[/tex] 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 = [tex]w[/tex]
Thus, the ratio can be given as:
⇒ [tex]\frac{Length}{Width}=\frac{9}{4}[/tex]
Plugging in length of room in the equation = 17 feet.
Solving for [tex]w[/tex]
⇒ [tex]\frac{17}{w}=\frac{9}{4}[/tex]
Multiplying both sides by 4.
⇒ [tex]4\times\frac{17}{Width}=\frac{9}{4}\times4[/tex]
⇒ [tex]\frac{68}{w}=9[/tex]
Multiplying both sides by [tex]w[/tex]
⇒ [tex]w\times\frac{68}{w}=9\times w[/tex]
⇒ [tex]68=9w[/tex]
Dividing both sides by 9.
⇒ [tex]\frac{68}{9}=\frac{9w}{9}[/tex]
∴ [tex]w=7.55\approx 8[/tex]
Thus, the width of the room to nearest foot [tex]\approx[/tex] 8 feet