Question

what percentage of the shape is blue? write your answer using a percent sign (%).

Explanation:

Step1: Count total and blue squares

The grid is 10x10, so total squares = \(10 \times 10 = 100\).
Blue squares: First 5 columns (5) times 9 rows (9) plus 4 (last row, first 4 columns)? Wait, no—wait, looking at the grid: first 5 columns, let's count rows. Wait, actually, the blue part: first 5 columns, and how many rows? Let's see: from top to bottom, first 9 rows have 5 blue, and the 10th row has 4? Wait no, maybe better: count the blue cells. Let's see, the blue region: columns 1 - 5, rows 1 - 9 (5×9=45) and row 10, columns 1 - 4 (4), so total blue = 45 + 4 = 49? Wait no, wait the grid is 10 columns (since it's 10x10). Wait maybe I miscounted. Wait the blue area: let's see, the first 5 columns, and how many rows? Wait the height: from top to bottom, the blue part is 9 full rows (5 columns each) and then the 10th row has 4? No, wait maybe the grid is 10x10, so 10 rows and 10 columns. Let's count the blue cells:

Looking at the image: the blue part is in the first 5 columns (left 5) and for the first 9 rows, each has 5 blue cells (5×9=45), and the 10th row (bottom row) has 4 blue cells (since the 5th column in the 10th row—wait no, maybe the 10th row has 4? Wait no, maybe I made a mistake. Wait alternatively, maybe the blue area is 49? Wait no, wait let's count again. Wait the grid is 10 columns (10 wide) and 10 rows (10 tall). Let's count the blue cells:

Wait the blue region: columns 1 - 5 (5 columns), rows 1 - 9 (9 rows): 5×9 = 45. Then row 10, columns 1 - 4: 4. So 45 + 4 = 49. Wait but 49 out of 100 is 49%. Wait but maybe I miscounted. Wait no, wait maybe the blue area is 49? Wait let's check: 10x10 grid, total 100 cells. If blue is 49, then 49/100 = 49%. Wait but maybe I made a mistake. Wait alternatively, maybe the blue area is 45 + 4 = 49? Wait yes, that seems right. Wait but let's confirm: 5 columns × 9 rows = 45, plus 4 in the 10th row: 45 + 4 = 49. So 49 out of 100, so 49%.

Wait no, wait maybe the 10th row has 5? Wait no, looking at the image: the bottom row (10th) has 4 blue cells (since the 5th column in the 10th row—wait the blue stops at column 4 in the 10th row? So 4. So total blue: 5×9 + 4 = 49. So 49/100 = 49%.

Step2: Calculate percentage

Percentage = \(\frac{\text{Blue cells}}{\text{Total cells}} \times 100\%\)
Total cells = \(10 \times 10 = 100\)
Blue cells = 49 (as counted)
So percentage = \(\frac{49}{100} \times 100\% = 49\%\)

Answer:

49%