Harold made a scale drawing of an apartment. A rug by the door is 14 inches long in the drawing. The actual rug is 6 feet long. What scale did Harold use for the drawing?7 inches : feetSubmit
Question
Harold made a scale drawing of an apartment. A rug by the door is 14 inches long in the drawing. The actual rug is 6 feet long. What scale did Harold use for the drawing?7 inches : feetSubmit
Solution
To find the scale that Harold used for the drawing, we need to convert the actual length of the rug from feet to inches since the length in the drawing is given in inches.
1 foot = 12 inches
So, 6 feet = 6 * 12 = 72 inches
Now, we can set up a ratio to find the scale.
14 inches (in the drawing) : 72 inches (actual)
To simplify the ratio, we divide both numbers by their greatest common divisor, which is 2.
So, the scale that Harold used for the drawing is 7 inches : 36 inches.
However, since the question asks for the scale in terms of feet, we need to convert 36 inches back to feet.
36 inches = 36/12 = 3 feet
So, the scale that Harold used for the drawing is 7 inches : 3 feet.
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