Alec drew a scale drawing of an arcade. The scale of the drawing was 8 inches : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing? inches
Question
Alec drew a scale drawing of an arcade. The scale of the drawing was 8 inches : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing? inches
Solution
To solve this problem, we need to set up a proportion using the given scale and the actual length of the air hockey table.
The given scale is 8 inches : 3 feet. This means that 8 inches on the drawing represents 3 feet in real life.
We are asked to find out how long the air hockey table is on the drawing if the actual length of the table is 9 feet.
We can set up the proportion as follows:
8 inches/3 feet = x inches/9 feet
To solve for x, we cross-multiply:
8 inches * 9 feet = 3 feet * x inches
72 inches = 3x
Then, divide both sides by 3 to solve for x:
x = 72 inches / 3 = 24 inches
So, the air hockey table would be 24 inches long on the drawing.
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