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Question
The actual area of an island is 1872km2 . On a map, this area is 117 cm2. if the length of the coastline is 44cm on the map, find the length of its actual coastline.
Solution
Actual area= 1872 km2
Area on map represents 117 cm2
Let 1cm represents x km
∴ 1cm2 represents x × x km2
Actual area= x × x × 117 km2
1872 = x2 x 117
`"x"^2 = 1872/117`
x2 = 16
x = 4
∴ 1cm represents 4 km
Length of coastline on map = 44cm
Actual length of coastline = 44 x 4 km = 176 km
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