A floor plan has a scale of 1/4 in : 5 ft. Find the length on the drawing for an actual length of 60 ft.
(1/4)/5 = x/60
Cross multiply and solve for x.
5x = 15
x = 3 inches
To find the length on the drawing for an actual length of 60 ft, we can use the scale given in the floor plan.
In this case, the scale is 1/4 in : 5 ft. This means that for every 1/4 inch on the floor plan, it represents 5 feet in actual measurements.
To calculate the length on the drawing, we can set up a proportion:
Actual Length / Scale = Length on Drawing
Plugging in the given values:
Actual Length = 60 ft
Scale = 1/4 in : 5 ft
Substituting the values into the proportion:
60 ft / (1/4 in : 5 ft) = Length on Drawing
To make the calculation easier, we need to convert the scale to the same unit as the actual length. Since the actual length is in feet, let's convert the scale to feet as well.
1/4 inch = (1/4) * (1 ft/12 in) = 1/48 ft
Now we can substitute the values again:
60 ft / (1/48 ft : 5 ft) = Length on Drawing
Using the division of fractions rule (also known as "keep, change, flip"):
60 ft * (5 ft / (1/48 ft)) = Length on Drawing
Simplifying the fraction in the parentheses:
60 ft * (5 ft * (48/1)) = Length on Drawing
Multiply the numbers together:
60 ft * (240 ft) = Length on Drawing
Now, we can calculate the final result:
Length on Drawing = 14,400 ft²
So, the length on the drawing for an actual length of 60 ft is 14,400 ft².