The length and breadth of a rectangular field are 22:4 cm and
15.8 cm respectively and have been measured to an
accuracy of O2 cm. Find the percentage error in the area of
the field.
Answers
Answer:
It is given in the problem that the length and breath of a field are 22.4 cm and 15.8 cm respectively and have been measured to an accuracy of 0.2 cm. Put L= 22.4 cm, B= 15.8 cm and and . Therefore, the error in the area of the field is 2.09%.
46
Answer: The correct answer is 2.09%.
Explanation:
The expression for the area of the rectangle.
A=LB
Here, L is the length and breadth of the rectangle.
Calculate the error in the area of the field.
\frac{\delta A}{A}\times 100=\frac{\Delta L}{L}\times 100+\frac{\Delta B}{B}\times 100
A
δA
×100=
L
ΔL
×100+
B
ΔB
×100
It is given in the problem that the length and breath of a field are 22.4 cm and 15.8 cm respectively and have been measured to an accuracy of 0.2 cm.
Put L= 22.4 cm, B= 15.8 cm and \Delta L= 0.2 cmΔL=0.2cm and \Delta B= 0.2 cmΔB=0.2cm .
\frac{\delta A}{A}\times 100=\frac{ 0.2}{22.4}\times 100+\frac{0.2}{15.8}\times 100
A
δA
×100=
22.4
0.2
×100+
15.8
0.2
×100
\frac{\delta A}{A}\times 100= 2.09%
A
δA
×100=2.09
Therefore, the error in the area of the field is 2.09%.