The measurement of length and breadth of a rectangle are 'b=(10.0+-0.1)cm' and 'I=(30.0+-0.2)cm' . What is the percentage error in the calculation of area of rectangle
Answers
Answered by
0
Answer:
l=(5.7±0.1)cm
b=(3.4±0.2)cm
A=l×b
=5.7×3.4=19.38 cm
2
=19.0 cm
2
A
ΔA
=±(
l
Δl
+
b
Δb
)
=±(
5.7
0.1
+
3.4
0.2
)
=±(
5.7×3.4
0.34+1.14
)
A
ΔA
=±
19.38
1.48
ΔA=±
19.38
1.48
×A
ΔA=±
19.38
1.48
×19.38
ΔA=±1.48=±1.5
Therefore Area = (19.0±1.5)sq.cm
Similar questions