Question

Hannah was looking at a scale drawing of the house she plans to build. the drawing how to scale of 1 inch= 5.4 feet. the width of her new dining room is 4 inches. how wide is the actual dining room going to be?

Answer 1

21.6 feet

Explanation:

We are given that Hannah plans to build a house with a scale of 1 inch= 5.4 feet.

If the width of her dining room is 4 inches, we are to find the actual width of the dining room.

To find this, we will use the ratio method.

`(1inch)/(4inch) =(5.4 feet)/(x)`

`x=5.4 * 4`

`x=21.6`

Therefore, the actual width of the dining room will be 21.6 feet.

Answer 2

21.6 feet

Explanation:

We know that the scale factor is 1 inch = 5.4 feet. Since our scale factor is a ratio, we can express it as a fraction whose numerator will be the units we want to convert to.

We know that, in the drawing, the width of the room is 4 inches and we want to find the actual width of the room. In other words, we want to convert from inches to feet, so the numerator of our scale factor will be 5.4 feet, which leaves us with 1 inch as its denominator:

1 inch = 5.4 feet

`(5.4ft)/(1in)`

Now we just need to multiply the width of our room in the drawing by our scale fraction to find its actual width:

Actual width =
`4in((5.4ft)/(1in))=4*5.4ft=21.6ft`

We can conclude that the actual dining room is 21.6 feet wide.