Question - Overlapping Square Areas Problem

Let the side of the larger square be \( x \) cm, therefore its area is \( x^2 \) cm².

Let the side of the smaller square be \( (x - 10) \) cm, area is \( (x - 10)^2 \) cm².

The area of the shaded part A is the difference between the areas of the two squares: \( x^2 - (x - 10)^2 = 24 \) cm².

Solving the equation:

\( x^2 - (x^2 - 20x + 100) = 24 \)

\( x^2 - x^2 + 20x - 100 = 24 \)

\( 20x - 100 = 24 \)

\( 20x = 124 \)

\( x = 6.2 \) cm

The side of the smaller square is \( (6.2 - 10) = -3.8 \) cm, which is not possible.

There seems to be an error because the side of the smaller square cannot be a negative number. Please verify the information provided in the question.