[tex]\frac{10}{4}[/tex] = [tex]\frac{x}{20}[/tex] proportion can be used to find the actual distance 'x' represented by 20 centimeters on the map.
The unitary method is used to find the value of a single unit from a given multiple.
For example: 50 boxes are of 500 rupees so what will be the price of 1 box
50 boxes → Rs. 500
1 box → 500/50
1 box → Rs. 10
This method is mostly used for ratio and proportion concept.
Here, we have given that the scale on a map shows that 10 kilometers is represented by 4 centimeters.
so,
4 centimeters → 10 kilometers
1 centimeter → 10/4 kilometers ------- ( i )
for 20 centimeters
20 centimeter → x kilometers
1 centimeter → x / 20 kilometers ------- ( ii )
on equating both the equations ( i ) and ( ii )
x / 20 = 10 / 4
x = 50 kilometers
Hence, [tex]\frac{10}{4}[/tex] = [tex]\frac{x}{20}[/tex] proportion can be used to find the actual distance 'x' represented by 20 centimeters on the map.
Learn more about "Unitary Method" from here: https://brainly.com/question/28276953
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