Question

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

Answer 1

Answer:

2500 cm

Step-by-step explanation:

The complete question is in the attachment.

The scale of the map is 1:1000

This means that, 1 cm on the map represents 1000 cm on the ground(actual distance).

To find the actual distance between two points that are 2.5 cm on the map, we just have to multiply by 1000 to get:

$2.5*1000=2500$

Therefore the corresponding actual distance is 2500 cm

Answer 2

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

$\texttt{Scale = Map Distance} \div \texttt{Ground Distance}$

$\texttt{Scale}^2 \texttt{ = Map Area} \div \texttt{Ground Area}$

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.

$\texttt{Scale} = \texttt{1 : 1000}$

The distance between two points on the map is 2.5 cm

$\texttt{Scale = Distance on map (figure)} \div \texttt{Actual Distance}$

$1 : 1000 = 2.5 \div \texttt{Actual Distance}$

$1 \times \texttt{Actual Distance} = 1000 \times 2.5$

$\texttt{Actual Distance} = 2500 \texttt{ cm}$

$\texttt{Actual Distance} = 2500 \div 100 \texttt{ m}$

$\texttt{Actual Distance} = 25 \texttt{ m}$

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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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Learn more

• Infinite Number of Solutions : brainly.com/question/5450548
• System of Equations : brainly.com/question/1995493
• System of Linear equations : brainly.com/question/3291576

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent