The image you uploaded appears to be a worksheet focused on calculating the areas of triangles and parallelograms. Below, I will explain how to solve the problems related to these shapes.
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Key Formulas:
1.
Area of a Triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
2.
Area of a Parallelogram:
\[
\text{Area} = \text{base} \times \text{height}
\]
---
Step-by-Step Solution:
####
Part 1: Area of Triangles
The worksheet provides several triangles with their bases and heights labeled. We will use the formula for the area of a triangle to calculate each one.
1.
Triangle 1:
- Base = 6 cm
- Height = 8 cm
\[
\text{Area} = \frac{1}{2} \times 6 \times 8 = \frac{1}{2} \times 48 = 24 \, \text{cm}^2
\]
2.
Triangle 2:
- Base = 12 cm
- Height = 5 cm
\[
\text{Area} = \frac{1}{2} \times 12 \times 5 = \frac{1}{2} \times 60 = 30 \, \text{cm}^2
\]
3.
Triangle 3:
- Base = 7 cm
- Height = 9 cm
\[
\text{Area} = \frac{1}{2} \times 7 \times 9 = \frac{1}{2} \times 63 = 31.5 \, \text{cm}^2
\]
4.
Triangle 4:
- Base = 10 cm
- Height = 6 cm
\[
\text{Area} = \frac{1}{2} \times 10 \times 6 = \frac{1}{2} \times 60 = 30 \, \text{cm}^2
\]
5.
Triangle 5:
- Base = 15 cm
- Height = 4 cm
\[
\text{Area} = \frac{1}{2} \times 15 \times 4 = \frac{1}{2} \times 60 = 30 \, \text{cm}^2
\]
####
Part 2: Area of Parallelograms
The worksheet also provides several parallelograms with their bases and heights labeled. We will use the formula for the area of a parallelogram to calculate each one.
1.
Parallelogram 1:
- Base = 10 cm
- Height = 5 cm
\[
\text{Area} = 10 \times 5 = 50 \, \text{cm}^2
\]
2.
Parallelogram 2:
- Base = 12 cm
- Height = 3 cm
\[
\text{Area} = 12 \times 3 = 36 \, \text{cm}^2
\]
3.
Parallelogram 3:
- Base = 7 cm
- Height = 6 cm
\[
\text{Area} = 7 \times 6 = 42 \, \text{cm}^2
\]
4.
Parallelogram 4:
- Base = 9 cm
- Height = 4 cm
\[
\text{Area} = 9 \times 4 = 36 \, \text{cm}^2
\]
5.
Parallelogram 5:
- Base = 6 cm
- Height = 8 cm
\[
\text{Area} = 6 \times 8 = 48 \, \text{cm}^2
\]
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Final Answers:
####
Triangles:
1. \( 24 \, \text{cm}^2 \)
2. \( 30 \, \text{cm}^2 \)
3. \( 31.5 \, \text{cm}^2 \)
4. \( 30 \, \text{cm}^2 \)
5. \( 30 \, \text{cm}^2 \)
####
Parallelograms:
1. \( 50 \, \text{cm}^2 \)
2. \( 36 \, \text{cm}^2 \)
3. \( 42 \, \text{cm}^2 \)
4. \( 36 \, \text{cm}^2 \)
5. \( 48 \, \text{cm}^2 \)
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{Triangles:} & 24, 30, 31.5, 30, 30 \\
\text{Parallelograms:} & 50, 36, 42, 36, 48
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of area of triangle rectangle parallelogram trapezoid worksheet.
