The scale of a map is 1: 10000000. on the map, the area of Slovakia is 4.9cm². Calculate the actual area of Slovakia and give your answer in km².
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Answer:
Representative Factor - 1:1000000
This means 1 cm on the map represents 1000000 cm on the actual ground
Area of forest on map =
4.6 \: {cm}^{2}4.6cm
2
1 \: {cm}^{2}1cm
2
on map represents
1000000 \times 1000000 \: {cm}^{2}1000000×1000000cm
2
on actual ground
Area of forest :
=1000000 \times 1000000 \times 4.6 \: {cm}^{2}1000000×1000000×4.6cm
2
(1 m = 100 cm)
=10000 \times 10000 \times 4.6 \: {m}^{2}10000×10000×4.6m
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(1 km = 1000m)
=10 \times 10 \times 4.6 \: {km}^{2}10×10×4.6km
2
=
460 \: {km}^{2}460km
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