The corresponding actual distance if the distance between two points on the map is 2.5 cm is 25 m
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Further explanation
Let us recall some important formulas about drawing at scale
[tex]\texttt{Scale = Map Distance} \div \texttt{Ground Distance}[/tex]
[tex]\texttt{Scale}^2 \texttt{ = Map Area} \div \texttt{Ground Area}[/tex]
Let us tackle the problem !
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Assume the complete question as follows:
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on the map is 2.5 cm !
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A property map is drawn at a scale of 1 : 1000.
[tex]\texttt{Scale} = \texttt{1 : 1000}[/tex]
The distance between two points on the map is 2.5 cm
[tex]\texttt{Scale = Distance on map (figure)} \div \texttt{Actual Distance}[/tex]
[tex]1 : 1000 = 2.5 \div \texttt{Actual Distance}[/tex]
[tex]1 \times \texttt{Actual Distance} = 1000 \times 2.5[/tex]
[tex]\texttt{Actual Distance} = 2500 \texttt{ cm}[/tex]
[tex]\texttt{Actual Distance} = 2500 \div 100 \texttt{ m}[/tex]
[tex]\texttt{Actual Distance} = 25 \texttt{ m}[/tex]
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Conclusion:
The corresponding actual distance if the distance between two points on the map is 2.5 cm is 25 m
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Answer details
Grade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
