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what percentage of the shape is orange? write your answer using a perce…

Question

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

Explanation:

Step1: Count total and orange squares

The grid is 5x5, so total squares: \(5\times5 = 25\). Orange squares: Let's count. First row: 3, second row: 3, third row: 2, fourth row: 2, fifth row: 2. Total orange: \(3 + 3 + 2 + 2 + 2 = 12\)? Wait, no, wait. Wait first two columns: first column 5, second column 5? Wait no, looking at the grid: first two columns? Wait the grid: columns 1,2,3,4,5. Rows 1 - 5.

Wait first row: columns 1,2,3 are orange (3), columns 4,5 white.

Second row: columns 1,2,3 orange (3), columns 4,5 white.

Third row: columns 1,2 orange (2), columns 3,4,5 white.

Fourth row: columns 1,2 orange (2), columns 3,4,5 white.

Fifth row: columns 1,2 orange (2), columns 3,4,5 white.

So total orange: \(3 + 3 + 2 + 2 + 2 = 12\)? Wait 3+3=6, 2+2+2=6, total 12. Wait no, wait first row: 3, second row: 3, third:2, fourth:2, fifth:2. 3+3=6, 2+2+2=6, total 12. Total squares: 5*5=25.

Step2: Calculate percentage

Percentage = \(\frac{\text{Orange squares}}{\text{Total squares}} \times 100\%\) = \(\frac{12}{25} \times 100\%\) = \(48\%\). Wait wait, wait I must have miscounted. Wait let's re - count.

Wait the grid:

Row 1: 3 orange (columns 1,2,3)

Row 2: 3 orange (columns 1,2,3)

Row 3: 2 orange (columns 1,2)

Row 4: 2 orange (columns 1,2)

Row 5: 2 orange (columns 1,2)

So 3 + 3+2 + 2+2 = 12. Total squares 25. 12/25 = 0.48, times 100 is 48%. Wait but wait, maybe I made a mistake. Wait another way: first two columns: column 1: 5, column 2:5? No, no, the first two columns: column 1 has 5, column 2 has 5? Wait no, looking at the image:

Wait the grid:

First column (leftmost): all 5 rows are orange.

Second column: all 5 rows are orange? Wait no, the first two columns: first column 5, second column 5? Wait no, the first row: columns 1,2,3 are orange. Second row: columns 1,2,3. Third row: columns 1,2. Fourth row: columns 1,2. Fifth row: columns 1,2. So column 1: 5 (all rows), column 2: 5 (all rows), column 3: 2 (rows 1,2). Wait no, row 3: column 3 is white. So column 3: rows 1,2 are orange (2), rows 3,4,5 white. So column 1:5, column 2:5, column 3:2. Total orange: 5 + 5+2 = 12. Yes, that's correct. So 12 out of 25.

\(\frac{12}{25} = 0.48\), times 100 is 48%.

Answer:

48%