Question

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

Answer 1

The measure of L to M on the map is 5.8 cm . The actual distance in kilometers is 2.9km and the drawing distance corresponding to 4.5km is 9 cm.

1.)

The distance between points L and M in the drawing is 5.8 cm

2.)

Using the scale given

• 1 : 50000

1cm on the map represents 50,000 cm on ground

1 cm = 50000

5.8 cm = x cm

x = 5.8 × 50000

x = 290000 cm

converting to kilometers:

100000 cm = 1 km

290000/100000

= 2.9 km

Hence, the distance in kilometers is 2.9 km.

3.)

Given an actual distance of 4.5 km

4.5 km = 450000 cm

1 cm = 50000 cm

x cm = 450000

50000x = 450000

x = 450000/50000

x = 9 cm

Answer 2

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