Question

Find the area of a rectangular plot in a map if the actual length and breadth of the plot are 200 m and 150 m. The Scale used in the map is 1 cm : 10 m.

• A. 100 sq. cm
• B. 300 sq. cm
• C. 100 sq. cm
• D. 3000 sq. cm

Answer 1

The correct option is B 300 sq. cm

Actual length of the plot = 200 m
Actual breadth of the plot = 150 m

=> Actual area of the plot = 200 m $\times$ 150 m = 30000 sq. m
Since the scale used in the map is 1 cm = 10 m, one unit square of 1 cm $\times$ 1cm will be 10 m $\times$ 10 m in actuality.

Area of one unit square in actuality = 10 m $\times$ 10 m = 100 sq. m

Thus, we can express the actual area of 30000 sq. m as 300 $\times$ 10 m $\times$ 10 m.

Replacing 10 m with 1 cm as per the scale used,

Area of the plot in the map = 300 $\times$ 1 cm $\times$ 1 cm = 300 sq. cm