Lesson Plans | What is area? - Free Printable

To solve the problem of counting the number of squares each shape covers, we need to carefully analyze each shape and count the individual grid squares it occupies. Let's go through each shape step by step.

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Shape 1: Pink Rectangle

- The pink rectangle is a 3x2 rectangle.
- It covers \(3 \times 2 = 6\) squares.
- Total Squares Covered: 6

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Shape 2: Blue Triangle

- The blue triangle is a right triangle with a base of 4 squares and a height of 4 squares.
- The area of a triangle is given by \(\frac{1}{2} \times \text{base} \times \text{height}\).
- Here, the base is 4 and the height is 4, so the area is \(\frac{1}{2} \times 4 \times 4 = 8\).
- However, since we are counting individual grid squares, we need to count the squares visually:
- The triangle covers 8 full grid squares.
- Total Squares Covered: 8

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Shape 3: Purple L-shaped Figure

- The purple shape is an L-shape consisting of two rectangles:
- A larger rectangle that is 3x4 (covering 12 squares).
- A smaller rectangle that is 1x2 (covering 2 squares).
- The total number of squares covered is \(12 + 2 = 14\).
- Total Squares Covered: 14

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Shape 4: Green Diamond

- The green diamond is a square rotated 45 degrees.
- Each side of the diamond spans 4 grid lines, meaning it covers a 4x4 grid area.
- Counting the squares inside the diamond, we see it covers exactly 16 squares.
- Total Squares Covered: 16

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Shape 5: Purple Trapezoid

- The purple trapezoid has a top base of 4 squares, a bottom base of 6 squares, and a height of 4 squares.
- The area of a trapezoid is given by \(\frac{1}{2} \times (\text{top base} + \text{bottom base}) \times \text{height}\).
- Here, the top base is 4, the bottom base is 6, and the height is 4, so the area is \(\frac{1}{2} \times (4 + 6) \times 4 = 20\).
- Visually counting the squares, we confirm it covers 20 squares.
- Total Squares Covered: 20

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Shape 6: Blue Rectangle

- The blue rectangle is a 2x7 rectangle.
- It covers \(2 \times 7 = 14\) squares.
- Total Squares Covered: 14

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Shape 7: Yellow L-shaped Figure

- The yellow shape is an L-shape consisting of two rectangles:
- A larger rectangle that is 3x2 (covering 6 squares).
- A smaller rectangle that is 1x2 (covering 2 squares).
- The total number of squares covered is \(6 + 2 = 8\).
- Total Squares Covered: 8

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Shape 8: Cyan Triangle

- The cyan triangle is a right triangle with a base of 7 squares and a height of 4 squares.
- The area of a triangle is given by \(\frac{1}{2} \times \text{base} \times \text{height}\).
- Here, the base is 7 and the height is 4, so the area is \(\frac{1}{2} \times 7 \times 4 = 14\).
- Visually counting the squares, we confirm it covers 14 squares.
- Total Squares Covered: 14

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Final Answer

Summarizing the results for all shapes:
1. Pink Rectangle: 6
2. Blue Triangle: 8
3. Purple L-shaped Figure: 14
4. Green Diamond: 16
5. Purple Trapezoid: 20
6. Blue Rectangle: 14
7. Yellow L-shaped Figure: 8
8. Cyan Triangle: 14

The final answer is:
\[
\boxed{6, 8, 14, 16, 20, 14, 8, 14}
\]