Question

find the area of the shaded shape. square units

Explanation:

Step1: Count the number of shaded squares in each row.

- Row 1 (top - most shaded row): 2 squares.
- Row 2: 5 squares.
- Row 3: 5 squares.
- Row 4: 2 squares.
- Row 5: 2 squares. Wait, no, let's re - examine the grid. Wait, actually, let's count the shaded cells properly. Let's list the number of shaded cells in each horizontal row (from top to bottom of the shaded region):

First, the top - most shaded row (let's say row 1 of the shaded part): 2 cells.

Second row: 5 cells.

Third row: 5 cells.

Fourth row: 2 cells? No, wait, maybe a better way is to count the number of shaded squares by looking at the grid. Each square has an area of 1 square unit (since each side is 1 unit, area of a square is \(1\times1 = 1\) square unit).

Let's count the shaded squares:

Looking at the grid, the shaded region:

- The top - most part (first horizontal layer of shaded): 2 squares.

- Then a middle part with two rows of 5 squares each: \(2\times5=10\)

- Then a bottom part with two rows of 2 squares each? Wait, no, let's count again. Wait, maybe I made a mistake. Let's count the number of shaded squares one by one.

Wait, let's look at the columns. Let's see the x - coordinates (horizontal) and y - coordinates (vertical).

Alternatively, let's count the number of shaded cells:

First, the top two squares (in the right - upper part), then a block of 5x2 (5 columns, 2 rows), then a block of 2x2 (2 columns, 2 rows)? No, let's count:

Wait, the correct way is:

Looking at the grid, the shaded squares:

- Row 1 (shaded, top): 2 squares.

- Row 2 (shaded): 5 squares.

- Row 3 (shaded): 5 squares.

- Row 4 (shaded): 2 squares.

- Row 5 (shaded): 2 squares? No, that can't be. Wait, maybe I miscounted. Let's do it step by step.

Wait, let's count the number of shaded cells:

First, the top - most shaded row (let's index the rows from top to bottom of the entire grid, but the shaded part is in the middle - right). Let's list the number of shaded cells in each row (of the entire grid) that has shaded cells:

- Row 3 (of the entire grid, assuming the grid has rows numbered from top as row 1): 2 shaded cells.

- Row 4: 5 shaded cells.

- Row 5: 5 shaded cells.

- Row 6: 2 shaded cells.

- Row 7: 2 shaded cells? No, this is getting confusing. Wait, let's use a better approach. Let's count the total number of shaded squares.

Looking at the grid, the shaded region can be divided into parts:

- A rectangle of 5 columns and 2 rows: \(5\times2 = 10\)

- A rectangle of 2 columns and 2 rows: \(2\times2=4\)

- A rectangle of 2 columns and 2 rows: \(2\times2 = 4\)? No, that's not right. Wait, no, let's count the number of shaded squares:

Wait, let's count:

Top - most shaded: 2

Then a middle block: 5 + 5=10

Then bottom - most shaded: 2+2 = 4

Total: \(2 + 10+4=16\)? Wait, no, let's count again. Wait, maybe I made a mistake. Let's count the number of shaded squares by looking at the image:

Looking at the grid, the shaded squares:

- First, the two squares on the top (right - upper), then a block of 5 squares in the next row, then 5 in the row below that, then 2 in the next row, then 2 in the bottom - most shaded row. Wait, 2+5 + 5+2+2=16? Wait, no, 2+5=7, 7 + 5=12, 12+2=14, 14 + 2=16. Wait, but let's check again.

Wait, another way: each small square has area 1. Let's count the number of shaded small squares.

Looking at the grid:

- The top - most shaded row (horizontal) has 2 squares.

- The next two rows (middle) have 5 squares each: \(2\times5 = 10\)

- The bottom two rows have 2 squares each: \(2\times2=4\)

Total: \(2 + 10+4=16\). Wait, but let's count the squares one by one:

Let's mark the shaded squares:

1. Top - right, first square.

2. Top - right, second square.

3. Next row, first square (middle - left of the middle block).

4. Next row, second square.

5. Next row, third square.

6. Next row, fourth square.

7. Next row, fifth square.

8. Next row (third row of shaded), first square.

9. Next row, second square.

10. Next row, third square.

11. Next row, fourth square.

12. Next row, fifth square.

13. Next row (fourth row of shaded), first square (bottom - left of the bottom block).

14. Next row, second square.

15. Next row (fifth row of shaded), first square.

16. Next row, second square.

Yes, that's 16 squares. Since each square has an area of 1 square unit, the total area is the number of shaded squares times 1.

Step2: Calculate the total area.

Since each square has an area of 1 square unit, and the number of shaded squares is 16, the area is \(16\times1=16\) square units.

Answer:

16 square units