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 :

ICSE Class 10 Mathematics PYQ · 2027 Specimen · Section A

1(x)1 Mark · 2027 · Section A · 2027 Specimen

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 :

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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.

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