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Question
On a map drawn to a scale of 1:25000, a rectangular plot of land has sides 12cm x 16cm. Calculate: The diagonal distance of the plot in km
Solution
scale = 1:25000
In rectangle ABCD,
AB = 12cm,BC = 16cm
AC is the diagonal.
By Pythagoras theorem
AC2 = AB2 + BC2
AC2 = 122 + 162
AC2 = 144 + 256 = 400
⇒ AC = 20cm
∵ Scale = 1:25000
AC = 20 x 25000cm
⇒ AC = `(20 xx 25000)/(100 xx 1000)`km
⇒ AC = 5km.
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