Math worksheet teaching area calculation using grid squares and multiplication for elementary students.

I'll solve this area worksheet step by step.

First, I need to understand what the worksheet is asking. It has two sections:
1. Find the area by counting the squares (problems 1-6)
2. Find the area by multiplying length × width (problems 7-9)

Let me start with the first section - finding area by counting squares.

For problem 1: I can see a rectangle made of blue squares. Let me count them.
The rectangle is 3 squares wide and 2 squares tall, so 3 × 2 = 6 squares total.

For problem 2: This is a green rectangle. Let me count the squares.
It appears to be 2 squares wide and 3 squares tall, so 2 × 3 = 6 squares total.

For problem 3: This is a purple rectangle. Let me count the squares.
It looks like 4 squares wide and 3 squares tall, so 4 × 3 = 12 squares total.

For problem 4: This is an L-shaped figure made of pink squares. Let me count them carefully.
There are 5 squares in the bottom row, 2 squares above the leftmost square, and 1 square above that, so 5 + 2 + 1 = 8 squares total.

For problem 5: This is a U-shaped figure made of blue squares. Let me count them.
There are 3 squares on the bottom, 2 squares on each side going up, so 3 + 2 + 2 = 7 squares total.

For problem 6: This is a staircase-shaped figure made of yellow squares. Let me count them.
There are 4 squares in the bottom row, 3 in the next row, 2 in the next, and 1 at the top, so 4 + 3 + 2 + 1 = 10 squares total.

Now for the second section - finding area by multiplying length × width.

For problem 7: The rectangle has dimensions 3 cm by 9 cm.
Area = length × width = 3 cm × 9 cm = 27 cm².

For problem 8: The rectangle has dimensions 2 cm by 5 cm.
Area = length × width = 2 cm × 5 cm = 10 cm².

For problem 9: The rectangle has dimensions 7 m by 7 m.
Area = length × width = 7 m × 7 m = 49 m².

Let me double-check my calculations to make sure I didn't make any errors.

All calculations look correct. The worksheet is teaching students two methods to find area: counting unit squares for irregular shapes or simple rectangles, and using the formula length × width for rectangles with given dimensions.

The completed worksheet would have these answers:
1. Area: 6
2. Area: 6
3. Area: 12
4. Area: 8
5. Area: 7
6. Area: 10
7. Area: 27 cm²
8. Area: 10 cm²
9. Area: 49 m²