3. What percent of the 10 -by-10 grid is shaded?

To find the percentage of the 10-by-10 grid that is shaded, we need to follow these steps:Step 1: Determine the total number of squares in the grid.Since the grid is 10-by-10, it has 10 rows and 10 columns. To find the total number of squares, we multiply the number of rows by the number of columns:Total squares = 10 rows * 10 columns = 100 squaresStep 2: Calculate the number of shaded squares.According to the picture details, the blue area (shaded area) occupies 0.44 of the total area. To find the number of shaded squares, we multiply the total number of squares by 0.44:Shaded squares = Total squares * 0.44 = 100 squares * 0.44 = 44 squaresStep 3: Convert the number of shaded squares to a percentage.To convert the number of shaded squares to a percentage of the total grid, we divide the number of shaded squares by the total number of squares and then multiply by 100 to get the percentage:Percentage of shaded squares = (Shaded squares / Total squares) * 100Percentage of shaded squares = (44 / 100) * 100 = 44%Answer:44% of the 10-by-10 grid is shaded.