Question

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

Explanation:

Step1: Count total and orange squares

Total columns: 5, total rows: 10. Total squares: \(5\times10 = 50\).
Orange columns: 3 (first 3 columns), rows: 10 (first 2 rows: 3×2=6; next 8 rows: 3×8=24? Wait, no. Wait, looking at the grid: first 3 columns (orange) and 2 columns (white). Rows: let's count orange cells. First 2 rows: 3×2=6? Wait no, first row: 4 orange? Wait no, the grid: let's see, the first column (orange) has 10 cells, second column (orange) 10, third column (orange) 10, fourth column (white) 10? Wait no, the image: the orange part is 3 columns? Wait no, looking at the grid: the first 3 columns? Wait no, the first row: 4 orange, 1 white? Wait no, maybe I miscounted. Wait, let's do it properly.

Wait, the grid is a rectangle with 5 columns (since white part is 2 columns, orange is 3? No, wait the first row: orange cells are 4? Wait no, the image: let's count rows. There are 10 rows (since it's a tall rectangle). Columns: 5 (orange: 3? No, first row: 4 orange, 1 white? Wait no, the first row: orange cells are 4, white 1? Wait no, the user's image: let's re-express. Let's count total cells: 5 columns × 10 rows = 50 cells.

Now count orange cells: Let's see, the first 2 rows: orange cells are 4? No, wait maybe the orange is 3 columns? Wait no, the first column (orange) has 10 cells, second column (orange) 10, third column (orange) 10, fourth column (white) 10? No, that can't be. Wait, maybe the orange is 3 columns? Wait no, let's count:

Wait, the grid: columns are 5 (since white is 2 columns, so orange is 3? No, 5 columns total: 3 orange, 2 white. Rows: 10. So orange cells: 3 columns × 10 rows = 30? Wait no, wait the first two rows: orange cells are 4? Wait no, maybe I made a mistake. Wait, let's look again. The first row: orange cells are 4, white 1? No, the image: the first row has 4 orange and 1 white? Wait no, the user's image: the orange part is 3 columns? Wait no, the first column (orange) has 10 cells, second column (orange) 10, third column (orange) 10, fourth column (white) 10? No, that's 4 columns. Wait, maybe columns are 5: orange is 3, white is 2. So 3×10=30? No, wait no, let's count the orange cells:

Wait, the first row: orange cells are 4? No, the first row: 4 orange, 1 white. Second row: 4 orange, 1 white. Third row: 3 orange, 2 white? Wait no, that's inconsistent. Wait, maybe the correct count is: total cells = 5×10=50. Orange cells: let's count each row.

Row 1: 4 orange, 1 white
Row 2: 4 orange, 1 white
Rows 3 - 10: 3 orange, 2 white (8 rows)

So row 1 + 2: 4×2 = 8
Rows 3 - 10: 3×8 = 24
Total orange: 8 + 24 = 32? Wait no, that can't be. Wait, maybe I'm overcomplicating. Wait, the correct way: the grid is 5 columns (x-axis) and 10 rows (y-axis). Let's check the orange columns: the first 3 columns? No, the first two rows have 4 orange cells (so 4 columns), then the rest have 3? No, maybe the image is a 10x5 grid (10 rows, 5 columns). Let's count orange cells:

Looking at the grid, the orange part is 3 columns (first 3) for rows 3 - 10, and 4 columns (first 4) for rows 1 - 2? No, that's messy. Wait, maybe the total cells are 50 (5×10). Let's count orange cells:

Wait, the first column (orange) has 10 cells, second column (orange) 10, third column (orange) 10, fourth column (white) 10? No, that's 4 columns. Wait, maybe the orange is 3 columns, but the first two rows have 4? No, I think I made a mistake. Wait, let's do it again.

Wait, the grid: 5 columns (C1, C2, C3, C4, C5) and 10 rows (R1 to R10).

C1: all 10 cells orange
C2: all 10 cells orange
C3: all 10 cells orange
C4: all 10 cells white
C5: all 10 cells white

Wait, no, that would be 3 columns orange (C1 - C3), 2 white (C4 - C5). So orange cells: 3×10=30. Total cells: 5×10=50. Then percentage: (30/50)×100 = 60%. Wait, but that contradicts the earlier count. Wait, maybe the first two rows have 4 orange cells. Wait, no, maybe the image is different. Wait, let's look at the grid again (as per the user's image):

The orange part: in the first two rows, there are 4 orange cells (so C1 - C4), and in the remaining 8 rows, 3 orange cells (C1 - C3). So:

Rows 1 - 2: 4×2 = 8
Rows 3 - 10: 3×8 = 24
Total orange: 8 + 24 = 32? No, 8+24=32. Then 32/50 = 0.64, 64%? Wait, that makes sense. Wait, let's check: 5 columns, 10 rows. Rows 1 - 2: 4 orange (C1 - C4), 1 white (C5). Rows 3 - 10: 3 orange (C1 - C3), 2 white (C4 - C5). So:

Row 1: 4 orange
Row 2: 4 orange
Rows 3 - 10: 3 each (8 rows: 3×8=24)
Total orange: 4 + 4 + 24 = 32.

Total cells: 5×10=50.

Percentage: (32/50)×100 = 64%.

Yes, that must be it. So 32 orange out of 50 total.

Step2: Calculate percentage

Percentage = \(\frac{\text{Orange Cells}}{\text{Total Cells}} \times 100 = \frac{32}{50} \times 100 = 64\%\).

Answer:

64%