Question

A square is cut along its diagonal to form four triangles and these are arranged on another square of same area to form a larger square. The area of the larger square is 64 sq.units. Then find the area of the original square.

$\left[2\right]$

Answer 1

If a square is cut along its diagonal into four triangles and these are arranged on another square of same area to form a larger square,

Then the area of the larger square is double the area of the original square.
$\left[1\right]$

Given that the area of the larger square formed by joining the 2 squares is 64 sq.units

So, the area of the original square is 32 sq.units.

$\left[1\right]$