On a map of scale 1:10,000 the area of a lake is 12cmsquare .what is the area of the actual lake?

Answer 1

area is proportional to the scale^2. So,

12cm^2 * (10^4)^2 = 12*10^8 cm^2
since 1m^2 = 10^4 cm^2, that means the area of the real lake is

12*10^4 m^2 = 12 ha

Answer 2

1:10 000

(1)^2 : (10 000)^2
12cm2 : ?

12 X 100 000 000
1200 000 000cm2

1m2 = (100)^2cm2
1200 000 000/10 000
120 000m2
10 000m2 = 1 Ha

120 000/10 000

12Ha