Bot an architect makes a scale drawing of a garage. The garage is 6.2 meters wide. In the scale drawing, the garage is 3.1 centimeters wide. Enter a value to show the scale the architect uses to make the drawing.
The scale used by the architect to make the drawing is 1 meter : 1 centimeter.
Bot please give me a different answer
Apologies for the incorrect response. The correct scale used by the architect to make the drawing is 1 meter : 2 centimeters.
To determine the scale the architect uses to make the drawing, we can use the proportion:
Original width / Scale width = Original length / Scale length
Let's plug in the given values:
6.2 meters / x = 3.1 centimeters / 1
To find the scale, we need to convert meters to centimeters:
6.2 meters × 100 centimeters/meter = 620 centimeters
Now we can solve the proportion:
620 centimeters / x = 3.1 centimeters / 1
Cross-multiplying:
620 centimeters = 3.1 centimeters × x
Simplifying:
620 = 3.1x
Dividing both sides by 3.1:
620 / 3.1 = x
x = 200
Therefore, the scale the architect uses to make the drawing is 1:200.