Question 1174278
<pre><font face = "consolas" color = "indigo" size = 3><b>
Hi
a map is drawn to a scale of 1:5000 on the map, a village has an area of 6cm^2. 
find the true area of the village in hectare

Letting A represent that true area sets up the Proportion:
  Scale represented as 5000^2 for Area.

  {{{1/5000^2 = 6cm^2/A}}}     |Cross Multiplying to Solve

   A =6(25(10^6))   ⇒    A = 150(10^6) cm^2 = 1.5(10^8) 

***** <u> Hectare = 1x10^8 cm^2 </U>*****

    A = {{{(1.5(10^8))/(1(10^8 ))}}} = 1.5 Hectares  

Wish You the Best in your Studies.
</font></b></pre>