The length of a hall is 15 metres. It is represented by a line 3 centimetres long on a scale drawing. What scale is used?
To find the scale used, we can set up a proportion comparing the length of the hall in real life to the length of the line on the scale drawing.
Let x be the scale used.
15/3 = x/1
To solve for x, we cross multiply and get:
3x = 15
x = 5
Therefore, the scale used is 1:5.
To find the scale used, you can set up a proportion between the actual length and the length in the scale drawing.
Let:
- L = actual length of the hall (in meters)
- S = length of the line on the scale drawing (in centimeters)
- x = scale factor
The proportion can be set up as follows:
L / S = 1 / x
Given that the actual length of the hall is 15 meters and it is represented by a line 3 centimeters long on the scale drawing, we have:
15 / 3 = 1 / x
Simplifying the equation:
5 = 1 / x
To solve for x, we can multiply both sides of the equation by x:
5x = 1
Dividing both sides of the equation by 5:
x = 1 / 5
Therefore, the scale used is 1/5.
To find the scale used in the scale drawing, we need to compare the length of the hall in real life to the length of the line representing it in the drawing.
Given that the length of the hall is 15 meters in real life and is represented by a line that is 3 centimeters long on the scale drawing, we can set up the following equation:
Length of the line on the scale drawing / Actual length of the hall = Scale
Therefore, the scale can be calculated as follows:
3 centimeters (length of the line on the scale drawing) / 15 meters (actual length of the hall) = Scale
To get the scale in centimeters per meter, we need to convert meters to centimeters:
15 meters x 100 centimeters/meter = 1500 centimeters
Now, we can substitute the values into the equation:
3 centimeters / 1500 centimeters = Scale
Simplifying the equation, we get:
Scale = 3 / 1500 = 0.002
Therefore, the scale used in the scale drawing is 1:500 (which means 1 centimeter on the drawing represents 500 centimeters or 5 meters in real life).