A room is 12 feet by 16 feet. on a scale drawing the 12-foot wall is 4 inches long. how long will the 16-foot wall be?(explain how you got answer)
Please check one of your previous posts.
You have posted this exact question 4 times today.
It has been answered by 3 different tutors.
Exactly what is it that you do not understand?
use the proportion
12 ft/4 in = 16 ft/x in
12x = 64
x = 64/12 = 16/3
so on your drawing the 16 ft wall would be represented by 5 1/3 inches.
To determine the length of the 16-foot wall in the scale drawing, we need to establish the ratio between the actual length of the wall and its representation in the drawing. The given information states that on the scale drawing, the 12-foot wall is depicted as 4 inches long.
To find the ratio, we can divide the actual length of the 12-foot wall by its representation on the scale drawing. In this case, the ratio is:
12 feet (actual length) / 4 inches (length on scale drawing)
To maintain the same ratio, we need to apply it to the 16-foot wall. To do this, we multiply the length of the 16-foot wall by the ratio calculated from the 12-foot wall:
16 feet (actual length) * (12 feet / 4 inches)
Before proceeding with the calculation, let's convert all measurements to the same unit. Since the ratio is in feet over inches, we need to choose a consistent unit. Let's convert everything to inches:
16 feet * 12 inches/foot * (12 feet / 4 inches)
Canceling the units, the calculation becomes:
16 * 12 * 12 / 4 = 576 inches
Thus, the length of the 16-foot wall in the scale drawing is 576 inches.