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 : meters
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 : meters
Solution
To find the scale Luna used, we need to set up a ratio between the real-life size and the size in the drawing.
Step 1: Convert the real-life size to the same units as the drawing. In this case, we need to convert meters to centimeters because the width of the parking lot in the drawing is given in centimeters. We know that 1 meter is equal to 100 centimeters. So, 54 meters is equal to 54 * 100 = 5400 centimeters.
Step 2: Now, we can set up a ratio between the size in the drawing and the real-life size. The width of the parking lot in the drawing is 102 centimeters and the real-life width is 5400 centimeters. So, the scale Luna used is 102 centimeters : 5400 centimeters.
Step 3: Simplify the ratio. Both numbers are divisible by 102. So, divide both sides of the ratio by 102 to get 1 centimeter : 53 centimeters.
So, Luna used a scale of 1 centimeter : 53 centimeters. This means that 1 centimeter in the drawing represents 53 centimeters in real life.
Similar Questions
Darell made a scale drawing of a shopping center. The parking lot is 4 centimeters wide in the drawing. The actual parking lot is 40 meters wide. What scale did Darell use?1 centimeter : meters
Sophie drew a scale drawing of a house and its lot. The back patio is 3 centimeters wide in the drawing. The actual patio is 18 meters wide. What scale did Sophie use for the drawing?1 centimeter : metersSubmit
Harry made a scale drawing of the elementary school. The schoolyard, which is 154 meters long in real life, is 22 millimeters long in the drawing. What scale did Harry use?1 millimeter : meters
Jamie drew a scale drawing of the town library. The scale of the drawing was 5 centimeters : 2 meters. The parking lot is 114 meters long in real life. How long is the parking lot in the drawing? centimeters
Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the college is 96 millimeters wide in the drawing, how wide is the actual building? meters
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.