# The Area of a Square

A square is a quadrilateral whose four angles are all right angles and whose all sides are equal.

Let be a square with each side in length equal to and is a diagonal which divides the square into two equal triangles, and. Since is a right triangle, therefore:

Similarly,

__Example__:

A chess board contains equal squares and the area of each square is square cm. A border around the board is cm wide. Find the length of the side of the chess board.

__Solution__:

There are equal squares, each of area square cm.

The total area bounded by squares square cm.

One side of the square containing small squares cm.

The width of the border cm.

The length of the side of the chess board cm.