Question

The scale on a map is 1:425000, determine
(I)the real distance between two towns if the map distance is 28cm
(ii)the area of Mr Swartz square farm (side 2,75cm on the map)in hectares (to nearest whole number).

Answer 1

Answer:

(I) 1.19×10^7 cm

(II)1.37×10^8 hectares

Step-by-step explanation:

1:425000

28 cm:x

x(real distance)=28×425000=11900000 cm

=1.19×10^7 cm

side 275 cm map reading

side on map reading=275 cm=116,875,000 cm

area of square farm=1.37×10^16 cm²

1 hectare= 10000 m²

first convert cm² to m²

1 m=100 cm

1 m²=100 cm×100 cm=10000 cm²

1.37×10^16 cm²=1.37×10^16/10000 m²

=1.37×10^12 m²

1 hectare= 10000 m²

              =1.37×10^12 m²

=1.37×10^12 m²/10000m²

=1.37×10^8 hectares