Math worksheet for calculating the area of composite rectangles, featuring eight different shapes with labeled dimensions.

To solve the problem of finding the area of composite rectangles, we need to break each shape into simpler rectangular parts, calculate the area of each part, and then sum these areas. Let's go through each figure step by step.

---

Figure 1

- The shape can be divided into two rectangles:
1. A rectangle with dimensions \(20 \, \text{ft} \times 5 \, \text{ft}\).
2. A rectangle with dimensions \(30 \, \text{ft} \times 15 \, \text{ft}\).

- Calculate the area of each rectangle:
\[
\text{Area of first rectangle} = 20 \times 5 = 100 \, \text{ft}^2
\]
\[
\text{Area of second rectangle} = 30 \times 15 = 450 \, \text{ft}^2
\]

- Total area:
\[
\text{Total Area} = 100 + 450 = 550 \, \text{ft}^2
\]

Answer for Figure 1:
\[
\boxed{550}
\]

---

Figure 2

- The shape can be divided into three rectangles:
1. A large rectangle with dimensions \(30 \, \text{cm} \times 25 \, \text{cm}\).
2. A smaller rectangle with dimensions \(10 \, \text{cm} \times 5 \, \text{cm}\) (cutout).

- Calculate the area of each rectangle:
\[
\text{Area of large rectangle} = 30 \times 25 = 750 \, \text{cm}^2
\]
\[
\text{Area of cutout} = 10 \times 5 = 50 \, \text{cm}^2
\]

- Total area (subtract the cutout):
\[
\text{Total Area} = 750 - 50 = 700 \, \text{cm}^2
\]

Answer for Figure 2:
\[
\boxed{700}
\]

---

Figure 3

- The shape can be divided into three rectangles:
1. A large rectangle with dimensions \(36 \, \text{m} \times 24 \, \text{m}\).
2. A smaller rectangle with dimensions \(14 \, \text{m} \times 10 \, \text{m}\) (cutout).

- Calculate the area of each rectangle:
\[
\text{Area of large rectangle} = 36 \times 24 = 864 \, \text{m}^2
\]
\[
\text{Area of cutout} = 14 \times 10 = 140 \, \text{m}^2
\]

- Total area (subtract the cutout):
\[
\text{Total Area} = 864 - 140 = 724 \, \text{m}^2
\]

Answer for Figure 3:
\[
\boxed{724}
\]

---

Figure 4

- The shape can be divided into three rectangles:
1. A rectangle with dimensions \(12 \, \text{ft} \times 6 \, \text{ft}\).
2. A rectangle with dimensions \(8 \, \text{ft} \times 3 \, \text{ft}\).
3. A rectangle with dimensions \(3 \, \text{ft} \times 3 \, \text{ft}\).

- Calculate the area of each rectangle:
\[
\text{Area of first rectangle} = 12 \times 6 = 72 \, \text{ft}^2
\]
\[
\text{Area of second rectangle} = 8 \times 3 = 24 \, \text{ft}^2
\]
\[
\text{Area of third rectangle} = 3 \times 3 = 9 \, \text{ft}^2
\]

- Total area:
\[
\text{Total Area} = 72 + 24 + 9 = 105 \, \text{ft}^2
\]

Answer for Figure 4:
\[
\boxed{105}
\]

---

Figure 5

- The shape can be divided into three rectangles:
1. A large rectangle with dimensions \(14 \, \text{yd} \times 8 \, \text{yd}\).
2. A smaller rectangle with dimensions \(5 \, \text{yd} \times 8 \, \text{yd}\) (cutout).
3. Another smaller rectangle with dimensions \(5 \, \text{yd} \times 5 \, \text{yd}\) (cutout).

- Calculate the area of each rectangle:
\[
\text{Area of large rectangle} = 14 \times 8 = 112 \, \text{yd}^2
\]
\[
\text{Area of first cutout} = 5 \times 8 = 40 \, \text{yd}^2
\]
\[
\text{Area of second cutout} = 5 \times 5 = 25 \, \text{yd}^2
\]

- Total area (subtract the cutouts):
\[
\text{Total Area} = 112 - 40 - 25 = 47 \, \text{yd}^2
\]

Answer for Figure 5:
\[
\boxed{47}
\]

---

Figure 6

- The shape can be divided into two rectangles:
1. A large rectangle with dimensions \(28 \, \text{m} \times 18 \, \text{m}\).
2. A smaller rectangle with dimensions \(6 \, \text{m} \times 10 \, \text{m}\) (cutout).

- Calculate the area of each rectangle:
\[
\text{Area of large rectangle} = 28 \times 18 = 504 \, \text{m}^2
\]
\[
\text{Area of cutout} = 6 \times 10 = 60 \, \text{m}^2
\]

- Total area (subtract the cutout):
\[
\text{Total Area} = 504 - 60 = 444 \, \text{m}^2
\]

Answer for Figure 6:
\[
\boxed{444}
\]

---

Figure 7

- The shape can be divided into four rectangles:
1. A large rectangle with dimensions \(8 \, \text{mm} \times 6 \, \text{mm}\).
2. A smaller rectangle with dimensions \(3 \, \text{mm} \times 3 \, \text{mm}\) (cutout).
3. Another smaller rectangle with dimensions \(1 \, \text{mm} \times 2 \, \text{mm}\) (cutout).
4. Yet another smaller rectangle with dimensions \(3 \, \text{mm} \times 1 \, \text{mm}\) (cutout).

- Calculate the area of each rectangle:
\[
\text{Area of large rectangle} = 8 \times 6 = 48 \, \text{mm}^2
\]
\[
\text{Area of first cutout} = 3 \times 3 = 9 \, \text{mm}^2
\]
\[
\text{Area of second cutout} = 1 \times 2 = 2 \, \text{mm}^2
\]
\[
\text{Area of third cutout} = 3 \times 1 = 3 \, \text{mm}^2
\]

- Total area (subtract the cutouts):
\[
\text{Total Area} = 48 - 9 - 2 - 3 = 34 \, \text{mm}^2
\]

Answer for Figure 7:
\[
\boxed{34}
\]

---

Figure 8

- The shape can be divided into two rectangles:
1. A large rectangle with dimensions \(28 \, \text{cm} \times 16 \, \text{cm}\).
2. A smaller rectangle with dimensions \(18 \, \text{cm} \times 6 \, \text{cm}\) (cutout).

- Calculate the area of each rectangle:
\[
\text{Area of large rectangle} = 28 \times 16 = 448 \, \text{cm}^2
\]
\[
\text{Area of cutout} = 18 \times 6 = 108 \, \text{cm}^2
\]

- Total area (subtract the cutout):
\[
\text{Total Area} = 448 - 108 = 340 \, \text{cm}^2
\]

Answer for Figure 8:
\[
\boxed{340}
\]

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Final Answers:

\[
\boxed{550, 700, 724, 105, 47, 444, 34, 340}
\]