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Peter wants to add a room to his house using a ratio of 9 to 4 for its dimensions. He will make the length of the room 17 feet. How wide will the room be to the nearest foot?

User Mariocatch
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1 Answer

2 votes

Answer:

The width of the room to nearest foot
\approx 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 =
w

Thus, the ratio can be given as:


(Length)/(Width)=(9)/(4)

Plugging in length of room in the equation = 17 feet.

Solving for
w


(17)/(w)=(9)/(4)

Multiplying both sides by 4.


4*(17)/(Width)=(9)/(4)*4


(68)/(w)=9

Multiplying both sides by
w


w*(68)/(w)=9* w


68=9w

Dividing both sides by 9.


(68)/(9)=(9w)/(9)


w=7.55\approx 8

Thus, the width of the room to nearest foot
\approx 8 feet

User Michael Kirkham
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