Can someone plz explain how to show scaled measurements in a scale drawing?
For example:
Width/x=24in/1in
length/x= 24in/1in
http://www.mathsisfun.com/definitions/scale-drawing.html
Why, thank you very much :-)
To show scaled measurements in a scale drawing, you need to use the concept of proportions. Proportions help us compare two different ratios and find a missing value.
In your example, you want to find the value of x, which represents the scale factor or the number of inches that each unit on the drawing represents in real life.
To solve this, you need to set up a proportion based on the given information in the question. The proportion should compare the measurements on the scale drawing to the actual measurements.
For the width:
Width/x = 24in/1in
This proportion states that the width on the scale drawing (in units) divided by x is equal to the actual width (in inches) divided by 1.
To solve for x, you can cross-multiply and divide:
Width * 1 = x * 24in
Width = 24x
For the length:
length/x = 24in/1in
This proportion states that the length on the scale drawing (in units) divided by x is equal to the actual length (in inches) divided by 1.
Again, to solve for x, cross-multiply and divide:
Length * 1 = x * 24in
Length = 24x
Now you have two equations: Width = 24x and Length = 24x.
If you want to find the value of x, you can set these two equations equal to each other:
24x = 24x
Since the two sides of the equation are equal, this means that there is no need to calculate the value of x. It is a scale factor of 1, meaning that one unit on the scale drawing represents one inch in real life.
In summary, when showing scaled measurements in a scale drawing, you can set up proportions using the given information and solve for the scale factor using cross-multiplication.