A 2-inch length in the scale at the left represent an actual length of 20 ft.
What is the scale of the drawing?
Divide and simplify them:
2 inch / 20 feet
1 inch / 10 feet
Scale is 1 inch = 10 feet
To determine the scale of the drawing, we need to find the ratio between the length on the scale and the corresponding actual length.
Given that a 2-inch length on the scale represents an actual length of 20 ft, we can set up the following ratio:
2 inches : 20 ft
To simplify this ratio, we can convert inches to feet:
2 inches = 2/12 = 1/6 ft
So the simplified ratio becomes:
1/6 ft : 20 ft
To find the scale, we can set up the equation:
(1/6 ft) / (20 ft) = x / 1
Cross-multiplying, we get:
1 * x = (1/6 ft) * (1)
Simplifying:
x = 1/6
Therefore, the scale of the drawing is 1/6, meaning that 1 unit on the drawing represents an actual length of 6 ft.
To determine the scale of the drawing, we need to compare the length on the scale to the corresponding actual length. According to the given information, a 2-inch length on the scale represents an actual length of 20 ft.
To calculate the scale, we can set up a proportion:
Scale on the drawing / Actual length = Length on the scale / Actual length
Let's assign variables to the unknowns:
Scale on the drawing = x
Actual length = 20 ft
Length on the scale = 2 inches
Setting up the proportion, we have:
x / 20 ft = 2 inches / 20 ft
We can simplify this proportion by canceling out the unit "ft":
x / 1 = 2 inches / 1
Simplifying further, we have:
x = 2 inches
Therefore, the scale of the drawing is 2 inches.