Question

On a map drawn to a scale of 1:25000, a triangular plot of land is right angled and the sides forming the right angle measure 225cm and 64cm.Find: The area of the plot in sq. km.

Answer 1

Scale = 1:25000
Area ABC

= `(1)/(2) xx 12 xx 16 xx 25000 xx 25000"cm"^2`

= `(1 xx 2225 xx 64 xx 25000 xx 25000)/(2 xx 100 xx 1000 xx 100 xx 1000)`km² 

= `(9000000)/(2 xx 10000)`km² 
= 450km².