## What is Perimeter?

A **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

## Knowledge Graph

## 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