Question

Find the area in hectare of a field whose length is 240m and breadth is 110m.

Answer 1

Hint: We will use the formula of the area of the rectangle in order to find the area of the field. This is numerically given as $\text{area of rectangle = length }\times \text{ breadth}$. We will also use the conversion 1 hectares = 10000 ${{m}^{2}}$ to get the required unit which is hectares here. With the help of these we will be able to solve the question.

Complete step-by-step answer:
The required diagram for the given question is shown below.

Now clearly by the diagram we come to know that the length of the field is 240 meters and the breadth of the field is 110 meters. As these two measurements of a field are similar to a rectangle therefore we will use the area of the rectangle to find the area of the field. This is numerically given as $\text{area of rectangle = length }\times \text{ breadth}$. As we know that the length is 240 meters and the breadth is 110 meters so, by substituting these dimensions into the formula of the area we will get,
$\begin{align}
  & \text{area of rectangle = length }\times \text{ breadth} \\
 & \Rightarrow \text{area of rectangle = }240m\times 110m \\
 & \Rightarrow \text{area of rectangle = }26400{{m}^{2}} \\
\end{align}$
Now we will use the conversion of meters into hectares. This conversion is given by 1 hectares = 10000 ${{m}^{2}}$. Thus we get $1{{m}^{2}}=\dfrac{1}{10000}\text{hectares}$. After substituting this conversion into the area of the rectangle we will have,
 $\begin{align}
  & \Rightarrow \text{area of rectangle = }26400\times 1{{m}^{2}} \\
 & \Rightarrow \text{area of rectangle = }26400\times \dfrac{1}{10000}\text{hectares} \\
 & \Rightarrow \text{area of rectangle = }2.64\,\,\text{hectares} \\
\end{align}$
Hence, the area of the field is 2.64 hectares.

Note: Before solving such questions in which there are units in the dimensions of any figure we will first see that there are the same units in the question or not. If there are different units used in the question then we will convert them into the same units and then precede the solution. Since we are given that we need to change the units for the area of the field into hectares so, we can also alternatively solve this by using the conversion 1 hectares = 10000 or $1{{m}^{2}}=\dfrac{1}{10000}\text{hectares}$ into the length and breadth of the field.