Question

does the sum of the areas of the smaller squares equal the area of the larger square?

Explanation:

Step1: Calculate the sum of the areas of the smaller squares

$$ 2\frac{1}{4}+4=\frac{9}{4}+4=\frac{9 + 16}{4}=\frac{25}{4}=6\frac{1}{4} $$

Step2: Compare the sum with the area of the larger square

The area of the larger square is \(6\frac{1}{4}\), and the sum of the areas of the smaller squares is also \(6\frac{1}{4}\)

Answer:

Yes