Question

find the area of the shaded shape.
1 unit
1 unit
square units

Explanation:

Step1: Count full squares

Looking at the shaded region, we can count the number of unit squares. Let's break it down:

• The middle rectangle: 5 columns (width) and 2 rows (height) initially? Wait, no, let's count each square. Let's list them:

First, the horizontal part: from column 3 to column 7 (wait, no, looking at the grid, let's count each shaded square:
Row 3 (top of shaded): 1 square (column 6)
Row 4: 5 squares (columns 3 - 7)
Row 5: 5 squares (columns 3 - 7)
Row 6: 1 square (column 6)
Wait, no, maybe better to count:
Top square: 1
Middle two rows: 5 + 5 = 10? Wait no, row 4 (third row from top of shaded) has 5, row 5 (fourth) has 5, then top (row 3) has 1, bottom (row 6) has 1. Wait, let's count again:
Looking at the grid, each small square is 1x1 unit.
Shaded squares:

• Row 3 (the third row from the top, where the first shaded square is): 1 square (column 6)
• Row 4: 5 squares (columns 3,4,5,6,7)
• Row 5: 5 squares (columns 3,4,5,6,7)
• Row 6: 1 square (column 6)

Wait, that's 1 + 5 + 5 + 1 = 12? Wait no, maybe I miscounted rows. Let's check the grid:

Wait the grid has 1 unit per square. Let's count the shaded squares:

Looking at the image, the shaded shape:

• Top: 1 square (rightmost)
• Middle: two rows of 5 squares each (horizontal)
• Bottom: 1 square (rightmost)

Wait 1 + 5 + 5 + 1 = 12? Wait no, maybe:

Wait let's count each square:

First, the vertical part on the right: 3 squares (top, middle, bottom) but no, the top square is separate, middle two rows (5 each), then bottom square. Wait no, let's count:

Looking at the grid, the shaded squares are:

Row 3 (third row from top): 1 square (column 6)
Row 4 (fourth row): 5 squares (columns 3,4,5,6,7)
Row 5 (fifth row): 5 squares (columns 3,4,5,6,7)
Row 6 (sixth row): 1 square (column 6)

So total: 1 + 5 + 5 + 1 = 12? Wait no, 1+5=6, 6+5=11, 11+1=12. Wait but let's check again. Wait maybe the middle is 2 rows of 5 (10) and top and bottom 1 each, total 12. Alternatively, maybe I made a mistake. Wait another way: the shape can be considered as a rectangle with some additions. Wait the horizontal part is 5 units wide and 2 units tall (5*2=10), and then two squares (top and bottom) each 1 unit, so 10 + 2 = 12. Yes, that makes sense. So the area is 12 square units.

Step2: Verify

Each unit square has area 1 (since side is 1 unit, area = 1*1 = 1). Counting 12 unit squares, so total area is 12.

Answer:

12