Scale Factor Equation


The percentage of two equivalent lengths in two related geometric numbers is called as Scale Factor. The percentage of the length of the scale diagram to the equivalent length of the definite item is called as Scale Factor.  A scale factor is a number used as a multiplier in scaling. Now we see about the Scale factor equation.
A scale factor is used to scale form in 1, 2, or 3 Measurements.Scale Factor can be Following State
Size conversion:
In size conversion, the scale factor is the percentage of express the sum of enlargement.
Scale Drawing:
In scale drawing, the scale factor is the percentage of amount of the diagram balanced to the amount of the creative diagram.
Comparing Two Similar Geometric Diagrams:
The scale factor when balance two comparable geometric diagrams is the percentage of lengths of the corresponding sides.Scale Factor Equation – Examples:Scale factor equation – Example 1:
Determine the scale factor from the bigger rectangle to the lesser rectangle, if the two rectangles are comparable.

Scale factor equation
Scale factor equation
Solution:
Step 1:
If we multiplying the length of the side of the bigger rectangle by the scale factor we determine the length of the equivalent side of the lesser rectangle


Step 2:
Measurement of bigger rectangle × scale factor = Measurement of smaller rectangleStep 3:
25 × scale factor = 10 [Substitute the values we get.]


Step 4:
Scale factor = `25/10` [Divide both side by 25.]Step 5:
Scale factor = `2/5` = 2:5 simplify we get
Step 6:
Scale factor of lesser rectangle to bigger rectangle = 2:5
Therefore the larger rectangle is 5 and the smaller rectangle is 2. `:.` 5:2Scale factor equation – Example 2:
Determine the scale factor from the bigger rectangle to the lesser rectangle, if the two rectangles are comparable.

Scale factor equation



Scale factor equation
Solution:Step 1:
If we multiplying the length of the side of the bigger rectangle by the scale factor we determine the length of the equivalent side of the lesser rectangle


Step 2:
Measurement of bigger rectangle × scale factor = Measurement of smaller rectangleStep 3:
32 × scale factor = 24 [Substitute the values we get.]

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Step 4:
Scale factor =` 32/24` [Divide both side by 32.]Step 5:
Scale factor = `6/8` = 6:8 = 3:4 simplify we get
Step 6:
Scale factor of lesser rectangle to bigger rectangle = 3:4.
Therefore the larger rectangle is 4 and the smaller rectangle is 3. `:.` 4:3