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# Perimeter of a shape – AMC UP – 2014 – Problem No – 11

The simplest example of power mean inequality is the arithmetic mean – geometric mean inequality. Learn in this self-learning module for math olympiad

## What is Perimeter?

perimeter is a path that encompasses/surrounds a two-dimensional shape. It can be thought of as the length of the outline of a shape.

## Try the problem from AMC UP, 2014- Problem 11

These two squares, each with a side length of 10 cm, overlap as shown in the diagram. The shape of the overlap is also a square which has an area of 16 square centimeters. In centimeter s, what is the perimeter of the combined shape?

Australian Mathematics Competition (AMC UP), 2014, Problem No. 11

Perimeter

2 out of 10

Elementary Algebra by Hall and Knigh

## Use some hints

Find the Perimeter of 2 boxes

$(4 \times 10) \times 2$

$80 cm$

The perimeter of small box

$4 \times 4$

16 cm

So the remaining boxes Space perimeter is 80 – 16 = 64 cm