Lower Bound and Upper Bound of Perimeter

This item is taken from IGCSE Mathematics (0580) Paper 23 of May/June 2014.

To deal with this item, let us summarize the details of the problem:
   (a) Syllabus area: Geometry
   (b) Specific topic: Perimeter of Plane Figures,Limits of Accuracy
   (c) Formula Needed:

Let us start with the lower bound and upper bound of the length of the rectangle.

Now, let us find the lower and upper bounds of the width of the rectangle.

To find the upper bound of the perimeter of the rectangle, calculate using the upper bounds of its length and width.

To find the lower bound of the perimeter of the rectangle, calculate using the lower bounds of its length and width.

Therefore, the upper and lower bounds of the perimeter of the rectangle are 427.8 cm and 427.4 cm, respectively.

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