## Measurement precision

### Task number: 2746

How precisely must we measure the sides of a rectangle with approximate dimensions \(6\times 8\, cm\), in order to

#### Variant 1

determine the perimeter of the rectangle with a precision of 1 \(mm\)?

#### Variant 2

determine the area of the rectangle with a precision of 1 \(mm^2\)?

#### Variant 3

determine the length of the rectangle's diagonals with a precision of 1 mm?

(Ignore the fact that we could measure the diaonals directly.)#### Variant 4

determine the area of the rectangle with a precision of 1 \(cm^2\)?