Question

A plot of land measures 500 m by 300 m. Find its area in
A.\[{m^2}\]
B.Hectares.

Answer 1

Hint: Area is the extent of a two-dimensional figure in a plane. It is measured in unit squares.
If l is the length of the rectangle and b is the breadth of the rectangle then, the area of the rectangle is given by \[l \times b\], and the perimeter is given by \[2(l + b)\].
Here, in this question, we need to determine the area of the plot, whose side’s measurement has been given. Here, we need to determine the area of the plot in two measuring units for which the necessary conversion formula is to be used. Also, $ 1{\text{ }}{{\text{m}}^2} = 0.0001{\text{ hectares}} $ .

Complete step-by-step answer:
Given, length (l) of a plot of land \[ = 500m\]
Breadth (b) of a plot of land \[ = 300m\]

(a)
Substitute 500 meters and 300 meters for the length and the breadth of the plot in the formula $ A = l \times b $ to determine the area of the plot in square meters as:
\[
\Rightarrow A = l \times b \\
   = 500{\text{ }}m \times 300{\text{ }}m \\
   = 150000{\text{ }}{m^2} \\
 \]
Hence, the area of the plot for 500 m by 300 m is 150000-meter squares.

(b)
Convert the area of the plot from meter squares to hectares to determine the area of the plot in hectares as:
 $
  1{\text{ }}{{\text{m}}^2} = 0.0001{\text{ hectares}} \\
\Rightarrow {\text{150000 }}{{\text{m}}^2} = 0.0001 \times 150000 \\
   = 15{\text{ hectares}} \\
  $
Hence, the area of the plot in hectares is 15 hectares.

Note: Don’t confuse between the formula of perimeter and area. Never forget to write the correct unit in your answer. Unit of the area will always be in Square unit and the unit of the perimeter will be the same as the unit of length and breadth. So the unit of length and breadth should be converted to the same unit.