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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.

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?

Source

Competency

Difficulty

Suggested Book

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

Perimeter

2 out of 10

Elementary Algebra by Hall and Knigh

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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