On a map of scale 1 : 50,000, a rectangular plot has sides 4 cm by 3 cm. The actual area of the plot on ground is :
- (a)3 km2
- (b)9 km2
- (c)12 km2
- (d)16 km2
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Given,
Scale of the map = 1 : 50,000
Length of the plot on the map = 4 cm
Breadth of the plot on the map = 3 cm
Actual length of the plot = 4 × 50000 = 2,00,000 cm
= $\frac{200000}{100000}$ = 2 km [∵ 1 km = 1,00,000 cm]
Actual breadth of the plot = 3 × 50000 = 1,50,000 cm
= $\frac{150000}{100000}$ = 1.5 km
Actual area of the plot = Actual length × Actual breadth
= 2 × 1.5
= 3 km2.
Hence, option 1 is the correct option.