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Tracing the area of trapezoids with given dimensions and formulas.

Worksheet titled "TRAPEZOID AREA SHEET 2" with six trapezoid diagrams and area calculation problems, including dimensions and formulas.

Worksheet titled "TRAPEZOID AREA SHEET 2" with six trapezoid diagrams and area calculation problems, including dimensions and formulas.

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Show Answer Key & Explanations Step-by-step solution for: Area Worksheets
To solve the problem of finding the area of each trapezoid, we will use the formula for the area of a trapezoid:

\[
\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}
\]

Let's go through each trapezoid step by step.

---

Trapezoid 1:


- Bases: \(5 \, \text{cm}\) and \(8 \, \text{cm}\)
- Height: \(4 \, \text{cm}\)

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (5 + 8) \times 4
\]
\[
\text{Area} = \frac{1}{2} \times 13 \times 4
\]
\[
\text{Area} = \frac{1}{2} \times 52
\]
\[
\text{Area} = 26 \, \text{cm}^2
\]

---

Trapezoid 2:


- Bases: \(9 \, \text{cm}\) and \(12 \, \text{cm}\)
- Height: \(6 \, \text{cm}\)

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (9 + 12) \times 6
\]
\[
\text{Area} = \frac{1}{2} \times 21 \times 6
\]
\[
\text{Area} = \frac{1}{2} \times 126
\]
\[
\text{Area} = 63 \, \text{cm}^2
\]

---

Trapezoid 3:


- Bases: \(7 \, \text{cm}\) and \(10 \, \text{cm}\)
- Height: \(3 \, \text{cm}\)

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (7 + 10) \times 3
\]
\[
\text{Area} = \frac{1}{2} \times 17 \times 3
\]
\[
\text{Area} = \frac{1}{2} \times 51
\]
\[
\text{Area} = 25.5 \, \text{cm}^2
\]

---

Trapezoid 4:


- Bases: \(6 \, \text{cm}\) and \(9 \, \text{cm}\)
- Height: \(5 \, \text{cm}\)

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (6 + 9) \times 5
\]
\[
\text{Area} = \frac{1}{2} \times 15 \times 5
\]
\[
\text{Area} = \frac{1}{2} \times 75
\]
\[
\text{Area} = 37.5 \, \text{cm}^2
\]

---

Trapezoid 5:


- Bases: \(12 \, \text{cm}\) and \(18 \, \text{cm}\)
- Height: \(7 \, \text{cm}\)

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (12 + 18) \times 7
\]
\[
\text{Area} = \frac{1}{2} \times 30 \times 7
\]
\[
\text{Area} = \frac{1}{2} \times 210
\]
\[
\text{Area} = 105 \, \text{cm}^2
\]

---

Trapezoid 6:


- Bases: \(5 \, \text{cm}\) and \(8 \, \text{cm}\)
- Height: \(6 \, \text{cm}\)

Using the formula:
\[
\text{Area} = \frac{1}{2} \times (5 + 8) \times 6
\]
\[
\text{Area} = \frac{1}{2} \times 13 \times 6
\]
\[
\text{Area} = \frac{1}{2} \times 78
\]
\[
\text{Area} = 39 \, \text{cm}^2
\]

---

Final Answers:


\[
\boxed{26, 63, 25.5, 37.5, 105, 39}
\]
Parent Tip: Review the logic above to help your child master the concept of decomposing shapes to find area worksheet.
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