Question

How do we draw a square of area 8 square centimeters?

Answer 1

Area of the given square = 8 cm²

⇒ (Side)² = 8 cm²

⇒ Side =

As , we can say that is the diagonal of a square of side 2 cm.

We know that the area of a square is double the area of another square if the length of side of the former is equal to the length of diagonal of the latter.

Here, we will draw a square of side with the help of a square of side 2 cm.

The following steps should be followed to draw the required square.

(1) Draw two squares of each side 2 cm, adjacent to each other.

(2) Cut the two squares along their diagonals.

(3) Place the triangles in such a way that the obtained quadrilateral is also a square.

The square so obtained has each side equal to.

Thus, the obtained square has an area of 8 cm².