Question

Find the area and perimeter respectively of a rectangular plot of land whose length and breadth are 15.4m and 6.5m respectively.
A) 100.10sqm, 43.8m
B) 43.8m, 100.10sq.m
C) 4.38m, 100,10sq.m
D) 1001.10sq.m, 4.38m

Answer 1

Hint: The area of any rectangular plot or plane is the product of its length and breadth and it is given by ${\text{length}} \times {\text{breadth}}$. Whereas the perimeter of a rectangular plot or plane is twice the sum of its length and breadth and it is given by $2({\text{length}}+{\text{breadth}})$.

Complete step-by-step answer:
Here it is given that the dimensions of the rectangular plot i.e. $length\left( l \right) = 15.4m{\text{ and }}breadth\left( b \right) = 6.5m$
(i) Area:
The area of the rectangular plot is given by :
$
  length\left( l \right) \times breadth\left( b \right) \\
   \Rightarrow 15.4 \times 6.5 = 100.10{m^2}{\text{ or }}100.10sqm \\
$
Thus, the required area of the given rectangular plot is $100.10sqm.$
(ii) Perimeter:
The perimeter of the rectangular plot is given by :
$
  2\left( {length\left( l \right) + breadth\left( b \right)} \right) \\
   \Rightarrow 2\left( {15.4 + 6.5} \right) = 43.8m \\
$
Thus, the required perimeter of the given rectangular plot is $43.8m$.

Correct answer for this question is option (A).

Note: In order to mark the correct option in this question, we need to be a little careful as the options are similar to one another. This may create a confusion regarding the correct option. It is known that the S.I. The unit for the area is ${m^2}$which is otherwise written as sqm. Similarly, the S.I. the unit for the length in which the perimeter is measured is m. Also, it is stated to find the area and parameter respectively, meaning the area will be first and perimeter. So, the correct answer for this question is option (A).