Question

A dairy farm covers an area of $8k{m^2}$. What is the area of the farm in hectares?
(A)$800ha$
(B)$80ha$
(C) $8ha$
(D) $0.8ha$

Answer 1

Hint:You easily solve the above problem with the information that one square kilometre is the same as a hundred hectares. So multiply the given area in question with the conversion factor to obtain the area in hectares

Complete step-by-step answer:
Given data is that the area of a dairy farm is $8k{m^2}$and we have to change this area into a hectare unit system.
Since, we know that the area of one square kilometre is the same as the area of hundred hectares, i.e. $1k{m^2} = 100ha$
So, for an area of $8k{m^2}$as given in the question, we can simply multiply both the side of the above relation with $8$
$1k{m^2} = 100ha \Rightarrow 8 \times 1k{m^2} = 8 \times 100ha \Rightarrow 8k{m^2} = 800ha$

So, the correct answer is “Option A”.

Additional Information:For a better understanding of the same concept let us take another case to solve. Let’s find how much an area of $711000{m^2}$ will is in hectares.
Here we have to change this meter square into kilometre square first, then we should move forward. Since the one-kilometre is a thousand times a meter.
$711000{m^2} = \dfrac{{711000}}{{1000 \times 1000}}k{m^2} = 0.711k{m^2}$
Similarly, now we can simply multiply the factor $0.711$to our first conversion equation
$1k{m^2} = 100ha \Rightarrow 0.711 \times 1k{m^2} = 0.711 \times 100ha \Rightarrow 0.711k{m^2} = 71.1ha$

Note:Be careful with the type of units we are dealing with here. The unit kilometre is of distance but the unit hectare is of area. That is why we are using kilometres in square to represent area while using hectares just as it is.