Question

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?

Answer 1

Answer:

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

Thus, the ratio can be given as:

⇒ $\frac{Length}{Width}=\frac{9}{4}$

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

Solving for $w$

⇒ $\frac{17}{w}=\frac{9}{4}$

Multiplying both sides by 4.

⇒ $4\times\frac{17}{Width}=\frac{9}{4}\times4$

⇒ $\frac{68}{w}=9$

Multiplying both sides by $w$

⇒ $w\times\frac{68}{w}=9\times w$

⇒ $68=9w$

Dividing both sides by 9.

⇒ $\frac{68}{9}=\frac{9w}{9}$

∴ $w=7.55\approx 8$

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