Question

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

Explanation:

Step1: Count total squares

The grid is \(10 \times 10\), so total squares \(= 10\times10 = 100\).

Step2: Count purple squares

Looking at the grid, the purple squares: first 2 columns, let's count rows. First 8 rows have 2 each, 9th row 1, 10th row 1? Wait, better: first column (10 squares), second column: let's see, first 8 rows (2 columns: 8*2=16), then 9th row: 1 (first column), 10th row:1 (first column)? Wait no, looking at the image: the purple is 2 columns for first 8 rows, then first column in 9th and 10th? Wait no, let's count again. Wait the grid is 10x10. Let's count the purple cells:

First column: all 10? No, looking at the image: the purple is 2 columns, but in the 9th row, second column is white? Wait maybe I miscounted. Wait the correct way: the purple cells: let's see, first column (10 cells), second column: 8 cells (since 9th and 10th row in second column are white). Wait no, looking at the image:

Wait the grid: rows 1 - 10, columns 1 - 10.

Column 1: all 10 cells purple?

Column 2: rows 1 - 8 purple, rows 9 - 10 white.

So column 1: 10, column 2: 8. Total purple: \(10 + 8 = 18\)? Wait no, wait the first two columns:

Wait row 1: columns 1 - 2 purple (2)

Row 2: columns 1 - 2 purple (2)

...

Row 8: columns 1 - 2 purple (2)

Row 9: column 1 purple, column 2 white (1)

Row 10: column 1 purple, column 2 white (1)

So total: \(8\times2 + 2\times1 = 16 + 2 = 18\). Wait but 18 out of 100 is 18%. Wait is that correct? Wait maybe I made a mistake. Wait let's count again. Wait the image: the purple is 2 columns for the first 8 rows, then first column in 9th and 10th. So 8 rows 2 = 16, plus 2 rows 1 = 2, total 18. So 18%? Wait no, wait maybe the first column is 10, second column is 8? Wait 10 + 8 = 18. Yes. So 18 out of 100 is 18%.

Wait maybe I miscounted. Wait let's check: 10x10 grid, total 100. Purple cells: let's count the number of purple squares. Looking at the grid, the purple area is 2 columns wide for the top 8 rows, and 1 column wide for the bottom 2 rows. So:

Top 8 rows: 2 columns * 8 rows = 16

Bottom 2 rows: 1 column * 2 rows = 2

Total: 16 + 2 = 18. So 18% of the shape is purple.

Answer:

18%