The length of a fence on a scale drawing is 6 cm. If the scale is 1 cm:4 m, what is the actual length of the fence?
A. 10 m
B. 18 m
C. 24 m
D. 48 m
The distance between Ridgeview and Tarragon is 7.6 inches on a map. If the scale on the map is 1 inch = 25 miles, what is the actual distance between the two towns?
A. 19.0 miles
B. 32.6 miles
C. 190 miles
D. 326 miles
since the miles/inches ratio is the same,
x/6 = 4/1
x/7.6 = 25/1
To find the actual length of the fence in the first question, we need to use the given scale.
The scale is 1 cm:4 m, which means that 1 cm on the drawing represents 4 m in reality.
Given that the length of the fence on the drawing is 6 cm, we can find the actual length by multiplying 6 cm by the scale ratio:
6 cm * 4 m/cm = 24 m
Therefore, the actual length of the fence is 24 m.
For the second question, we have a similar scenario:
The scale on the map is 1 inch = 25 miles, which means that 1 inch on the map represents 25 miles in reality.
Given that the distance between Ridgeview and Tarragon on the map is 7.6 inches, we can find the actual distance by multiplying 7.6 inches by the scale ratio:
7.6 inches * 25 miles/inch = 190 miles
Therefore, the actual distance between the two towns is 190 miles.
So, the correct answers are:
A. 24 m
C. 190 miles
To find the actual length of the fence, we can use the scale ratio.
Given: scale is 1 cm: 4 m and the length on the scale drawing is 6 cm.
Step 1: Convert the scale ratio to meters.
Since the scale is 1 cm: 4 m, we can convert 6 cm to meters by multiplying it by 4.
6 cm * 4 m/cm = 24 m
Step 2: Determine the actual length of the fence.
The actual length of the fence is 24 m.
Therefore, the answer is C. 24 m.
For the second question:
Given: scale is 1 inch = 25 miles and the distance on the map is 7.6 inches.
Step 1: Convert the distance on the map to miles.
To find the actual distance, we multiply the distance on the map by the scale factor.
7.6 inches * 25 miles/inch = 190 miles
Step 2: Determine the actual distance between the two towns.
The actual distance between the two towns is 190 miles.
Therefore, the answer is C. 190 miles.