the height of a new home is going to be 74 feet. if the height of the home in a scale drawing is 9.25 inches, what is the scale used?
The height of a new home is going to be 74 feet. If the height of the home in a scale drawing is 91/4 inches, what is the scale used?
9.25/(74) = 1 inch/x feet
Solve for x.
78
To determine the scale used in the scale drawing, we need to compare the height of the actual home with the height of the home in the scale drawing.
Let's set up a proportion to solve for the scale:
Actual height of the home / Height of the home in the scale drawing = Scale factor
Given:
Actual height of the home = 74 feet
Height of the home in the scale drawing = 9.25 inches
First, we need to convert the units so they are consistent. Since both measurements are in feet, we don't need to make any conversions in this case.
Setting up the proportion:
74 feet / 9.25 inches = Scale factor
However, we need to ensure that the units cancel out correctly. Since 1 foot is equal to 12 inches, we can convert the 74 feet into inches:
74 feet * 12 inches/foot = 888 inches
Now, let's substitute the values into the proportion:
888 inches / 9.25 inches = Scale factor
Calculating:
Scale factor ≈ 95.89
Therefore, the scale used in the scale drawing is approximately 1:95.89.