The error in the measurement of the sides of a rectangle is 1% .the error in the measurement of its area is choose to correct options(a)1%,(b)1/2%,(c)2%(d)none of the above
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The error in the measurement of its area is 2%
Explanation:
Consider side of a rectangle ‘’a’’ and ‘’b’’ so area ‘’A’’ will be ab.
Consider a error in side ‘’a’’ is Δa and the error in side ‘’b’’ is Δb than error in measurement of area ΔA will be ΔA/A = Δa/a + Δb/b
In the question its given error is 1% so,
Δa/a = 1/100 and Δb/b = 1/100
So, ΔA/A = 1/100 + 1/100 = 2/100
Area, ΔA = 2%
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