1. The problem asks to create two squares each with side length 10 cm, divided into 100 equal smaller squares. 2. Each small square will have side length $\frac{10}{10} = 1$ cm because dividing the big square into 100 equal squares means a 10 by 10 grid. 3. For the first square, color 0.45 part of the big square red. Since the big square has 100 small squares, 0.45 part means $0.45 \times 100 = 45$ small squares should be colored red. 4. For the second square, use four colors, each covering 0.05 part of the big square. Each color covers $0.05 \times 100 = 5$ small squares. 5. The total colored area in the second square is $4 \times 5 = 20$ small squares colored with four different colors. 6. The remaining small squares in both squares remain uncolored (white). 7. This design can be visualized by coloring the specified number of small squares in each big square accordingly. Final answer: - First square: 45 small squares colored red. - Second square: 4 colors, each coloring 5 small squares (total 20 colored small squares).