Question

Now can’t we draw a square of area 20 square centimeters?

Answer 1

Area of the given square = 20 cm²

Also, 20 = 2² + 4²

We know that the area of a square drawn on the diagonal of a rectangle is equal to the sum of the areas of the squares drawn on two adjacent sides of the rectangle.

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

(1) Draw a rectangle of length 4 cm and breadth 2 cm.

(2) Join the diagonal of the rectangle.

(3) Draw a square on the diagonal of the above rectangle.

The obtained square has an area of 20 cm².