Math worksheet for finding area using square units.

To find the area of each shape, we need to count the number of small squares inside each figure. Each square represents one square unit.

Let’s go through each shape one by one:

Shape 1:
- Top row: 3 squares
- Second row: 4 squares
- Third row: 4 squares
- Fourth row: 4 squares
- Bottom row: 3 squares
Total = 3 + 4 + 4 + 4 + 3 = 18 square units

Shape 2:
This is a “U” shape.
- Left column: 6 squares
- Right column: 6 squares
- Bottom row (connecting them): 2 squares (but note — the bottom corners are already counted in left and right columns, so we only add the middle 2)
Wait — let’s count carefully by rows:
Row 1: 2 squares (left and right)
Row 2: 2 squares
Row 3: 2 squares
Row 4: 2 squares
Row 5: 2 squares
Row 6: 3 squares (left, middle, right)
Total = 2+2+2+2+2+3 = 13 square units

Actually, let me recount visually:
Left vertical strip: 6 squares
Right vertical strip: 6 squares
Bottom horizontal connecting part: but the bottom row has 3 squares total — the left and right are already counted, so we add 1 more for the middle.
So: 6 (left) + 6 (right) + 1 (middle bottom) = 13? But wait — that double-counts nothing because the bottom row’s left and right are part of the vertical strips.

Better way: Count every single square.

Looking at Shape 2:
It’s 3 columns wide and 6 rows tall, but the middle column is empty except for the bottom row.

So:
Columns 1 and 3: each has 6 squares → 6 × 2 = 12
Column 2: only the bottom row has 1 square → +1
Total = 12 + 1 = 13 square units

Yes.

Shape 3:
This is a rectangle: 3 columns × 5 rows = 15 squares
Area = 15 square units

Shape 4:
Let’s count row by row from top:
Row 1: 3 squares
Row 2: 3 squares
Row 3: 4 squares (including the extra on the left)
Row 4: 2 squares (left and right, with gap in middle)
Row 5: 2 squares (left and right, with gap in middle)

Wait — let’s list them clearly:

Top two rows: each has 3 squares → 3 + 3 = 6

Third row: extends to the left — so 4 squares

Fourth row: only leftmost and rightmost → 2 squares

Fifth row: same as fourth → 2 squares

Total = 6 + 4 + 2 + 2 = 14 square units

Double-check:
Imagine it as a 4x5 grid minus some missing parts.

But easier to count directly:

Positions (row, col):

Row 1: cols 2,3,4 → 3
Row 2: cols 2,3,4 → 3
Row 3: cols 1,2,3,4 → 4
Row 4: cols 1,4 → 2
Row 5: cols 1,4 → 2

Total: 3+3+4+2+2 = 14 → Correct.

Shape 5:
This looks like a rectangle with a gap in the middle.

It’s 3 columns wide, 7 rows tall.

But rows 4 and 5 have only the left and right columns — middle is missing.

So:

Rows 1-3: full 3 squares each → 3×3 = 9

Rows 4-5: only 2 squares each (left and right) → 2×2 = 4

Rows 6-7: full 3 squares each → 2×3 = 6

Total = 9 + 4 + 6 = 19 square units

Check: 3 columns × 7 rows = 21 total possible, minus 2 missing (in rows 4 and 5, middle column) → 21 - 2 = 19 → Correct.

Shape 6:
This is an irregular shape.

Count row by row:

Row 1: 3 squares
Row 2: 3 squares
Row 3: 3 squares
Row 4: 2 squares (left and middle? Wait — looking at image: it seems rows 1-3 are full 3, then row 4 has only left and middle? Or left and right?

Actually, from the image description:

Shape 6:
Top three rows: 3 squares each → 9

Then row 4: only left and middle? Or left and right? Let me think.

Actually, standard interpretation: after 3 full rows, then a row with 2 squares (say, left and middle), then a row with 2 squares (middle and right), then bottom row with 3 squares.

Wait — better to count:

Assume:

Rows 1-3: 3 each → 9

Row 4: 2 squares (positions 1 and 2)

Row 5: 2 squares (positions 2 and 3)

Row 6: 3 squares

Total = 9 + 2 + 2 + 3 = 16

But let me verify with another method.

Total if full 3x6 = 18, minus 2 missing → 16.

Where are the missing ones? In row 4, position 3 is missing; in row 5, position 1 is missing.

Yes — so 18 - 2 = 16.

Alternatively, count:

Row 1: 3
Row 2: 3
Row 3: 3
Row 4: 2 (say, left and center)
Row 5: 2 (center and right)
Row 6: 3

Sum: 3+3+3+2+2+3 = 16 → Correct.

So final answers:

1. 18
2. 13
3. 15
4. 14
5. 19
6. 16

Final Answer:
1. 18 sq. units
2. 13 sq. units
3. 15 sq. units
4. 14 sq. units
5. 19 sq. units
6. 16 sq. units