1.

A student uses a metre scale, measuring upto 1 mm, to measure the length and breadth of a rectangular plate. He finds that length = 5.7 cm and breadth = 3.4 cm. What is the percentage error in the area of the plate ?A. `3.5%`B. `4.7%`C. `5.3%`D. `6.2%`

Answer» Correct Answer - b
Area of the plate = `A=lxxb`
and `deltal=deltab=1` mm = 0.1 cm
The percentage error in A is given by
`((deltaA)/(A))xx100=((deltal)/(l))xx100+((deltab)/(b))xx100`
`therefore ((deltaA)/(A))xx100=((0.1)/(5.7))xx100+((0.1)/(3.4))xx100`
`=1.8%+2.9%=4.7%`
[The figures are rounded of to the first decimal place.]


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