Luna drew a scale drawing of the high school. The parking lot, which is 54 meters wide in real life, is 102 centimeters wide in the drawing. What scale did Luna use?17 centimeters : metersSubmit
Question
Luna drew a scale drawing of the high school. The parking lot, which is 54 meters wide in real life, is 102 centimeters wide in the drawing. What scale did Luna use?17 centimeters : metersSubmit
Solution
To find the scale Luna used, you need to set up a ratio of the drawing's measurements to the real-life measurements.
Step 1: Convert the real-life width from meters to centimeters, because the width in the drawing is given in centimeters. There are 100 centimeters in a meter, so 54 meters equals 5400 centimeters.
Step 2: Set up a ratio of the drawing's width to the real-life width. This gives you 102 cm (drawing) : 5400 cm (real-life).
Step 3: Simplify the ratio by dividing both numbers by the greatest common factor. The greatest common factor of 102 and 5400 is 6. So, divide 102 by 6 to get 17, and divide 5400 by 6 to get 900.
So, the scale that Luna used is 17 cm : 900 m.
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