# The length of a side of a square is 6.81 cm, correct to 3 significant figures. What is the perimeter of the square to an appropriate degree of accuracy and what is its lower bound.

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The length of the side of the square is 6.81 correct to 3 significant places, that implies we can write the length as 6.810 cm.

The perimeter of the square is 6.810*4 = 27.240 cm. As the length of the side is known to an accuracy of 3 significant places, the perimeter too is accurate to 3 significant places.

The lower bound of the perimeter is the number with one extra significant figure that when rounded up would yield 27.240. Here it is 27.2350 cm.

**The lower bound of the perimeter is 27.2350 cm.**