> > a map has a scale of 1: 50,000 the area of the farm on the map is 6cm^2.

# a map has a scale of 1: 50,000 the area of the farm on the map is 6cm^2.

## What is the real area of the farm in hectares? (1 hectare = 10,000...

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### a map has a scale of 1: 50,000 the area of the farm on the map is 6cm^2.

What is the real area of the farm in hectares?
(1 hectare = 10,000 m^2= 0.01 km^2)

$$a\ scale\ s=1:50,000=\frac{1}{50,000}=\frac{1}{5\cdot10^4}\\\\A_m=6cm^2-the\ area o\ the\ map\\\\A_r=? -the eal\ area\\\\\frac{A_m}{A_r}=s^2\\\\\frac{6}{A_r}=\left(\frac{1}{5\cdot10^4} ight)^2\\\\\frac{6}{A_r}=\frac{1}{(5\cdot10^5)^2}\\\\\frac{6}{A_r}=\frac{1}{5^2\cdot(10^4)^2}$$