Areas of 2d-Shapes worksheet - Free Printable

Let's solve each part of the worksheet step by step using the formulas provided:

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1. Area of Squares

Formula:
Area of square = $ a^2 $, where $ a $ is the length of a side.

#### Square 1:
- Side = 3 cm
$$
A = 3^2 = 9 \text{ cm}^2
$$

#### Square 2:
- Side = 1.5 m
$$
A = (1.5)^2 = 2.25 \text{ m}^2
$$

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2. Area of Rectangles

Formula:
Area of rectangle = $ b \times h $, where $ b $ = base, $ h $ = height.

#### Rectangle 1:
- Base = 4 cm, Height = 6 cm
$$
A = 4 \times 6 = 24 \text{ cm}^2
$$

#### Rectangle 2:
- Base = 3.2 dm, Height = 5 dm
$$
A = 3.2 \times 5 = 16 \text{ dm}^2
$$

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3. Area of Triangles

Formula:
Area of triangle = $ \frac{b \times h}{2} $

#### Triangle 1:
- Base = 6 m, Height = 8 m
$$
A = \frac{6 \times 8}{2} = \frac{48}{2} = 24 \text{ m}^2
$$

#### Triangle 2:
- Base = 5 mm, Height = 2.5 mm
$$
A = \frac{5 \times 2.5}{2} = \frac{12.5}{2} = 6.25 \text{ mm}^2
$$

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✔ Final Answers:

#### 1. Areas of Squares:
- Blue square: $ A = 9 \text{ cm}^2 $
- Green square: $ A = 2.25 \text{ m}^2 $

#### 2. Areas of Rectangles:
- Orange rectangle: $ A = 24 \text{ cm}^2 $
- Gray rectangle: $ A = 16 \text{ dm}^2 $

#### 3. Areas of Triangles:
- Green triangle: $ A = 24 \text{ m}^2 $
- Red triangle: $ A = 6.25 \text{ mm}^2 $

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