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?

Suggested Book

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


2 out of 10

Elementary Algebra by Hall and Knigh

Knowledge Graph

Perimeter of a shape- knowledge graph

Use some hints

First hint

Find the Perimeter of 2 boxes

\((4 \times 10) \times 2\)

\(80 cm\)

Second Hint

The perimeter of small box

\(4 \times 4\)

16 cm

Final Step

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

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