Question

click on each question mark and choose an expression for the area of the given white square. area = ? area = ?

Explanation:

Step1: Recall the Pythagorean theorem

The Pythagorean theorem states that in a right - triangle \(a^{2}+b^{2}=c^{2}\).

Step2: Analyze the area of the squares

The area of a square is given by \(A = s^{2}\), where \(s\) is the side - length of the square.
For the smaller white square:
The side - length of the smaller white square is \(a\). Using the formula for the area of a square \(A=s^{2}\), the area is \(a^{2}\).
For the larger white square:
The side - length of the larger white square is \(b\). Using the formula for the area of a square \(A = s^{2}\), the area is \(b^{2}\).

Answer:

The area of the smaller white square is \(a^{2}\) and the area of the larger white square is \(b^{2}\).