b)  On a map drawn to scale of 1 : 50,000, a rectangular plot of land ABCD has the following dimensions.  AB = 6cm; BC = 8cm and all angles are right angles.  Find:
1.  the actual length of the diagonal distance AC of the plot in km.
2.  the actual area of the plot in sq km.

Dear Student ,
 
Please find below the solution to the asked query :

iUsing pythagoras theorem,AC =  AB2 + BC2=62 + 82=36+64=100=10 cm1 cm = 50,000 cm         Given10 cm =10 × 50000=500000 cmActual length of AC=500000 cm=500000100×1000 Km=5 Kmii Area = Length × Breadth=6 × 8=48 cm2Actual area=48 ×50000×50000100×1000×100×1000=12 Km2 . 
 
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