David drew a scale drawing of a table.The real table is 12 feet long.I measured out in inches that the height was 1/2 and the length was 2.But my question is What scale did he use?
2 inches to 12 feet is one inch to six feet which is 72 inches
the scale ratio is 1/72
To determine the scale David used in his scale drawing, we need to compare the measurements of the scale drawing with the actual measurements of the table.
In the scale drawing, David measured the height as 1/2 and the length as 2. However, we need to convert these measurements into the same units as the actual table's measurements.
Since David measured the height in inches, let's convert the actual height of the table (12 feet) to inches. Since there are 12 inches in a foot, the actual height of the table in inches is 12 * 12 = 144 inches.
Now, let's compare the measurements:
Scale Drawing:
Height: 1/2 inches
Length: 2 inches
Actual Table:
Height: 144 inches
Length: 12 feet = 12 * 12 = 144 inches
To find the scale, we can divide the measurements of the scale drawing by the actual measurements:
Scale for Height = 1/2 inches / 144 inches = 1/288
Scale for Length = 2 inches / 144 inches = 1/72
Therefore, David used a scale of 1/288 for the height and 1/72 for the length in his scale drawing of the table.