Your living room is 20 feet long by 12 feet wide. How long will the living room measure if you create a scale drawing where 1/2 inch = 4 feet?
1/2 in:4 ft = 5/2 in:20 ft
To determine the length the living room will measure on the scale drawing, we need to calculate the scale factor first. The scale factor is the ratio of the length on the drawing to the actual length.
In this case, the scale is given as 1/2 inch = 4 feet. Let's convert the 20 feet length into inches to match the units:
20 feet = 20 * 12 inches = 240 inches
We can set up a proportion using the scale factor:
(1/2 inch) / (4 feet) = x / (240 inches)
Let's solve for x:
x = (1/2 inch) * (240 inches) / (4 feet)
x = 1/2 * 240 / 4
x = 120 / 4
x = 30
Therefore, the length of the living room on the scale drawing will measure 30 inches.