Matthew drew a scale drawing of a summer camp. The sand volleyball court, which is 18 meters long in real life, is 27 millimeters long in the drawing. What is the scale of the drawing?
3 millimeters : meters
MAKE SURE IT’S CORRECT
To find the scale of the drawing, we need to determine the ratio of the length in the drawing to the length in real life.
The length of the sand volleyball court in the drawing is 27 millimeters.
The length of the sand volleyball court in real life is 18 meters.
The ratio of the length in the drawing to the length in real life can be determined as follows:
27 millimeters : 18 meters
Since we want the scale to be in millimeters to meters, we need to convert meters to millimeters by multiplying by 1000:
27 millimeters : 18 meters = 27 millimeters : 18 × 1000 millimeters
Simplifying this ratio gives us:
27 millimeters : 18000 millimeters
Therefore, the scale of the drawing is 27 millimeters : 18000 millimeters.
If we simplify this ratio by dividing both sides by 9, we get:
3 millimeters : 2000 millimeters
So, the correct scale of the drawing is 3 millimeters : 2000 millimeters.
I SAID TO MAKE SURE IT’S CORRECT
Apologies for the mistake in my previous response. Let's calculate the correct scale of the drawing.
The length in the drawing is given as 27 millimeters, and the length in real life is 18 meters.
To determine the scale, we need to find the ratio of the length in the drawing to the length in real life.
27 millimeters : 18 meters
To convert meters to millimeters, we multiply by 1000:
27 millimeters : 18 meters = 27 millimeters : 18 × 1000 millimeters
Simplifying this ratio, we get:
27 millimeters : 18000 millimeters
However, we want the scale to be in millimeters to meters. So if we divide both sides of the ratio by 27, we get:
1 millimeter : 666.67 millimeters
Therefore, the correct scale of the drawing is 1 millimeter : 666.67 millimeters, or approximately 1 : 666.67.
STILL WRONG IT WAS 2
Apologies for the previous incorrect responses. Let's calculate the correct scale of the drawing.
The length of the sand volleyball court in the drawing is given as 27 millimeters, and the length in real life is 18 meters.
To determine the scale, we need to find the ratio of the length in the drawing to the length in real life.
27 millimeters : 18 meters
To convert meters to millimeters, we multiply by 1000:
27 millimeters : 18 meters = 27 millimeters : 18 × 1000 millimeters
Simplifying this ratio, we get:
27 millimeters : 18,000 millimeters
Now, let's find the scale by dividing both sides of the ratio by the same number. We will divide both sides by 9 to simplify the scale:
27 millimeters ÷ 9 : 18,000 millimeters ÷ 9
This simplifies to:
3 millimeters : 2,000 millimeters
Therefore, the correct scale of the drawing is 3 millimeters : 2,000 millimeters, or simply 1 millimeter : 666.67 millimeters, which could be further simplified as 1 : 666.67.
To find the scale of the drawing, we can set up a proportion using the lengths in the drawing and the actual lengths.
Let's call the scale of the drawing "x" in the form of "3 millimeters : meters". Based on the information given, we can set up the proportion:
27 millimeters (drawing length) : 18 meters (actual length) = 3 millimeters (scale) : 1 meter (scale)
Now we can solve for "x" by cross-multiplying:
27 millimeters * 1 meter = 18 meters * 3 millimeters
27 * 1 = 18 * 3
27 = 54
Therefore, the scale of the drawing is:
3 millimeters : meters or simply 1:2