the length of a rectangular plate is measured by a metre scale and found to be 10.0 CM its width is measured by vernier calipers as 1.00 CM least count of the metre scale and Vernier calipers 0.1 cm and 0. 01 CM respectively maximum permissible error in the area measured is

(1) +- 0.2 cm^2

(2) +- 0.1 cm^2

(3) +-0.3 cm^2

(4) zero

when quantities are multiplied , percent errors are added

To find the maximum permissible error in the area measured, we need to calculate the area of the rectangle and then multiply it by the maximum permissible error of each measuring instrument.

Let's start by calculating the area of the rectangle:
Area = length × width
Area = 10.0 cm × 1.00 cm
Area = 10.0 cm^2

Now, let's calculate the maximum permissible error in the area measured using each instrument:

For the metre scale:
Maximum permissible error = least count × length × width
Maximum permissible error = 0.1 cm × 10.0 cm × 1.00 cm
Maximum permissible error = 1.0 cm^2

For the Vernier calipers:
Maximum permissible error = least count × length × width
Maximum permissible error = 0.01 cm × 10.0 cm × 1.00 cm
Maximum permissible error = 0.1 cm^2

Finally, let's find the total maximum permissible error:
Total maximum permissible error = maximum permissible error from the metre scale + maximum permissible error from the Vernier calipers
Total maximum permissible error = 1.0 cm^2 + 0.1 cm^2
Total maximum permissible error = 1.1 cm^2

Therefore, the correct answer is (3) +- 0.3 cm^2.