Area of Rectangle Worksheets - Free Printable

To solve the problem, we need to find the area of each rectilinear shape by breaking it into rectangles and then summing their areas. Let's go through each shape step by step.

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Shape 1:

The shape is composed of two rectangles:
- Rectangle 1: Dimensions are \(3 \, \text{cm} \times 1 \, \text{cm}\).
- Rectangle 2: Dimensions are \(3 \, \text{cm} \times 2 \, \text{cm}\).

#### Step 1: Calculate the area of Rectangle 1
\[
\text{Area of Rectangle 1} = 3 \, \text{cm} \times 1 \, \text{cm} = 3 \, \text{cm}^2
\]

#### Step 2: Calculate the area of Rectangle 2
\[
\text{Area of Rectangle 2} = 3 \, \text{cm} \times 2 \, \text{cm} = 6 \, \text{cm}^2
\]

#### Step 3: Sum the areas
\[
\text{Total Area} = 3 \, \text{cm}^2 + 6 \, \text{cm}^2 = 9 \, \text{cm}^2
\]

Answer for Shape 1:
\[
\boxed{9}
\]

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Shape 2:

The shape is composed of two rectangles:
- Rectangle 1: Dimensions are \(6 \, \text{cm} \times 4 \, \text{cm}\).
- Rectangle 2: Dimensions are \(2 \, \text{cm} \times 4 \, \text{cm}\).

#### Step 1: Calculate the area of Rectangle 1
\[
\text{Area of Rectangle 1} = 6 \, \text{cm} \times 4 \, \text{cm} = 24 \, \text{cm}^2
\]

#### Step 2: Calculate the area of Rectangle 2
\[
\text{Area of Rectangle 2} = 2 \, \text{cm} \times 4 \, \text{cm} = 8 \, \text{cm}^2
\]

#### Step 3: Sum the areas
\[
\text{Total Area} = 24 \, \text{cm}^2 + 8 \, \text{cm}^2 = 32 \, \text{cm}^2
\]

Answer for Shape 2:
\[
\boxed{32}
\]

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Shape 3:

The shape is composed of two rectangles:
- Rectangle 1: Dimensions are \(6 \, \text{cm} \times 3 \, \text{cm}\).
- Rectangle 2: Dimensions are \(2 \, \text{cm} \times 4 \, \text{cm}\).

#### Step 1: Calculate the area of Rectangle 1
\[
\text{Area of Rectangle 1} = 6 \, \text{cm} \times 3 \, \text{cm} = 18 \, \text{cm}^2
\]

#### Step 2: Calculate the area of Rectangle 2
\[
\text{Area of Rectangle 2} = 2 \, \text{cm} \times 4 \, \text{cm} = 8 \, \text{cm}^2
\]

#### Step 3: Sum the areas
\[
\text{Total Area} = 18 \, \text{cm}^2 + 8 \, \text{cm}^2 = 26 \, \text{cm}^2
\]

Answer for Shape 3:
\[
\boxed{26}
\]

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Shape 4:

The shape is composed of three rectangles:
- Rectangle 1: Dimensions are \(10 \, \text{cm} \times 5 \, \text{cm}\).
- Rectangle 2: Dimensions are \(6 \, \text{cm} \times 2 \, \text{cm}\).
- Rectangle 3: Dimensions are \(4 \, \text{cm} \times 2 \, \text{cm}\).

#### Step 1: Calculate the area of Rectangle 1
\[
\text{Area of Rectangle 1} = 10 \, \text{cm} \times 5 \, \text{cm} = 50 \, \text{cm}^2
\]

#### Step 2: Calculate the area of Rectangle 2
\[
\text{Area of Rectangle 2} = 6 \, \text{cm} \times 2 \, \text{cm} = 12 \, \text{cm}^2
\]

#### Step 3: Calculate the area of Rectangle 3
\[
\text{Area of Rectangle 3} = 4 \, \text{cm} \times 2 \, \text{cm} = 8 \, \text{cm}^2
\]

#### Step 4: Sum the areas
\[
\text{Total Area} = 50 \, \text{cm}^2 + 12 \, \text{cm}^2 + 8 \, \text{cm}^2 = 70 \, \text{cm}^2
\]

Answer for Shape 4:
\[
\boxed{70}
\]

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Final Answers:

1. \(\boxed{9}\)
2. \(\boxed{32}\)
3. \(\boxed{26}\)
4. \(\boxed{70}\)