the map shown is scale of 1:50 000

1) measure and state in centimeters the distance on the map from L to M

2) Calculate the actual distance in kilometers from L to M

3) The actual distance two points is 4.5 km calculate the number of centimeters that should be used to represent the distance one the map

Question

04-05-2018
Mathematics

contestada

the map shown is scale of 1:50 000

1) measure and state in centimeters the distance on the map from L to M

2) Calculate the actual distance in kilometers from L to M

3) The actual distance two points is 4.5 km calculate the number of centimeters that should be used to represent the distance one the map

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see the attached figure to better understand the problem

Part 1)
using a graph tool
the distance on the map from M to L along a straight line is 5.8 cms

part 2) Calculate the actual distance in kilometers from L to M

we know that
the scale is 1:50 000
that means
1 cm on the map is in the actual-----> 50000 cm-----> 500 m-----> 0.5 km
so
if 1 cm on the map is--------> 0.5 km in the actual
5.8 cm on the map is-------> X km
x=5.8*0.5-----> x=2.9 km

the answer Part 2) is
the actual distance in kilometers from L to M is 2.9 km

Part 3) The actual distance two points is 4.5 km calculate the number of centimeters that should be used to represent the distance one the map

if 1 cm on the map is--------> 0.5 km in the actual
X cm---------------------------> 4.5 km
x=4.5/0.5-----> x=9 cm

the answer Part 3) is 9 cm