Question

the scale on a map is 1:20000 (a) calculate the actual distance between two points which are 2.7 cm apart on the map. give your answer in kilometre. (b) the actual distance between two points is 40km. calculate this distance on the map. give your answer in centimeter​

Answer 1

Answer:

1) 54000 km

2) 0.02 cm

Step-by-step explanation:

1) distance between two pints = 2.7 cm

  scale = 1:20000

  real distance = 2.7*20000

                      = 54000 km

2) actual distance between two points = 40 km

   scale = 1:20000

   distance on map = 40/20000

                                = 0.02 cm

Answer 2

Answer:

a) 0.54 km

b) 1.61 $cm^{2}$

Step-by-step explanation:

a)  Scale: 1 : 20,000

    Distance on map: 2.7 cm

    Actual distance: X

So      1     :    20 000

         2.7  :        X

• Cross multiply
• X= 54000 cm
• To convert to km, divide by 100,000

• X= 0.54 km

b) Scale: 1 : 20,000

   Actual distance: 40 km

   Distance on map: X

• Convert 40 km to cm (since the scale is in cm)
• So 40*100000 = 4*10^6

• Cross Multiply  1   : 2000

                                  x  :  4*10^6

• So x= (4*10^6) / 2000
• X= 2000 cm

Hope this helps!