Question

carl is remodeling his kitchen. on his plans, the kitchen island is 4 inches long. if the actual kitchen island will be 9.2 feet long, what was the scale used to create the drawing?​

Answer 1

The scale used to create the drawing of the kitchen island is 1:27.6.

Step-by-step explanation:

To find the scale used to create the drawing, we need to calculate the scale factor. In this case, we will compare the length of the actual kitchen island to the length on the drawing. The actual length of the kitchen island is 9.2 feet, while the length on the drawing is 4 inches. To convert the length to the same unit of measurement, we can convert 9.2 feet to inches by multiplying it by 12 (1 foot = 12 inches).

9.2 feet * (12 inches/1 foot) = 110.4 inches

Now, we can find the scale factor by dividing the actual length by the length on the drawing:

Scale factor = actual length / length on drawing = 110.4 inches / 4 inches

Scale factor = 27.6

Answer 2

one inch on the plan represents 2.3 feet in real life

Step-by-step explanation:

Set up a proportion

`(4)/(9.2) \\`=
`(1)/(x)`

`4x=9.2`

`x=2.3`