Marcy drew a scale drawing of a petting zoo. The goat pen, which is 9 meters wide in real life, is 15 centimeters wide in the drawing. What is the scale of the drawing?
There are FIVE centimeters : meters
To find the scale of the drawing, we need to determine the ratio of the width in the drawing to the width in real life.
The width of the goat pen in the drawing is 15 centimeters.
The width of the goat pen in real life is 9 meters.
To convert centimeters to meters, we divide by 100.
15 centimeters = 15/100 = 0.15 meters
Now, we can calculate the scale:
Scale = Width in drawing : Width in real life
Scale = 0.15 meters : 9 meters
Simplifying the ratio, we get:
Scale = 0.15/9
Scale = 0.0167
Therefore, the scale of the drawing is approximately 0.0167.
Are you sure
Apologies for the confusion. I made an error in my calculation. Let's correct it:
The width of the goat pen in the drawing is 15 centimeters.
The width of the goat pen in real life is 9 meters.
To convert centimeters to meters, we divide by 100.
15 centimeters = 15/100 = 0.15 meters
Now we can calculate the scale:
Scale = Width in real life : Width in drawing
Scale = 9 meters : 0.15 meters
Simplifying the ratio, we get:
Scale = 9/0.15
Scale = 60
Therefore, the scale of the drawing is 60 centimeters : 1 meter, or 1:60.
To find the scale of the drawing, we need to determine the ratio of the size of the drawing to the size of the actual object. In this case, the width of the goat pen in the drawing is given as 15 centimeters, while the actual width of the goat pen is 9 meters.
To convert the units so that they are consistent, we need to convert either the width of the drawing to meters or the width of the actual object to centimeters. Let's convert the width of the actual object to centimeters, since we have the width of the drawing in centimeters.
There are 100 centimeters in a meter, so 9 meters is equal to 9 x 100 = 900 centimeters.
Now that we have the width of the goat pen in centimeters for both the drawing and the actual object, we can determine the scale as the ratio of the drawing's width to the actual width.
So, the scale is given by:
15 centimeters (drawing width) : 900 centimeters (actual width)
Simplifying the ratio by dividing both sides by 15 gives us:
1 centimeter : 60 centimeters
This can also be simplified to:
1 : 60
Therefore, the scale of the drawing is 1 : 60, which means that each centimeter in the drawing represents 60 centimeters in real life.