Question

If the actual difference in areas covered by the red and blue region in reality is 10000 sq. cm, what is scale used in the map shown?

• A. 1 cm = 100 cm
• B. 1 cm = 10 m
• C. 1 cm = 1 m
• D. (a) and (c) above.

Answer 1

The correct option is D (a) and (c) above.

Area of each small square = 1 $\times$ 1
= 1 sq. cm
Area covered by the red region on the map = 5 $\times$ 1 = 5 sq. cm
Area covered by the blue region on the map = 4 $\times$ 1 = 4 sq. cm
Difference between the areas covered on the map = 5 - 4 = 1 sq. cm

Actual difference in areas covered by the red and yellow region = 10000 sq. cm
$\therefore$ 1 sq. cm on map = 10000 sq. cm in reality which is 100 cm $\times$ 100 cm, which is 1 m $\times$ 1 m ( $\because$ 100 cm = 1 m)
So, the scale used in the map is 1 cm = 1 m or 1 cm = 100 cm