So the area of the map is 2000 hectares but the question is asking to find the area of the farm in cm2. I'm a bit confused as how to work this out. I know that 1 hectare is equals to 10,0000 m2.
The scale of the map is 1: 180,000
2026-03-30 15:34:55.1774884895
Finding an area of the farm in cm2 on the map
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An hectare is $10^4$ square metres. A square metre is $(100)^2=10^4$ square cm. So the field has $2\times 10^{11}$ square cm.
The linear scale is $180000$ to $1$. So $1$ square cm on the map represents $(180000)^2$ square cm on the ground.
Thus on the map, the area of the farm is $\frac{10^{11}}{(180000)^2}$ square cm.
Remark: If the linear dimensions of an object are scaled by the scale factor $\lambda$, then area is scaled by the factor $\lambda^2$, and volume is scaled by the factor $\lambda^3$. In our case, $\lambda=\frac{1}{180000}$.