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प्रश्न
On a map, drawn to a scale of 1 : 20000, a rectangular plot of land ABCD has AB = 24 cm and BC = 32 cm. Calculate :
- the diagonal distance of the plot in kilometer.
- the area of the plot in sq. km.
उत्तर
Scale :- 1 : 20000
1 cm represents 20000 cm =`20000/(1000 xx 100) = 0.2 km`
i. AC2 = AB2 + BC2
= 242 + 322
= 576 + 1024
= 1600
AC = 40 cm
Actual length of diagonal = 40 × 0.2 km = 8 km
ii. 1 cm represents 0.2 km
1 cm2 represents 0.2 × 0.2 km2
The area of the rectangle ABCD = AB × BC
= 24 × 32
= 768 cm2
Actual area of the plot = 0.2 × 0.2 × 768 km2 = 30.72 km2
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