To solve the problem of finding the areas of the given parallelograms, we will use the formula for the area of a parallelogram:
\[
\text{Area} = \text{base} \times \text{height}
\]
The
base is one of the sides of the parallelogram, and the
height is the perpendicular distance from the base to the opposite side.
Let's go through each parallelogram step by step:
---
Problem 1:
-
Base: 8 units
-
Height: 5 units
\[
\text{Area} = \text{base} \times \text{height} = 8 \times 5 = 40 \text{ square units}
\]
---
Problem 2:
-
Base: 6 units
-
Height: 7 units
\[
\text{Area} = \text{base} \times \text{height} = 6 \times 7 = 42 \text{ square units}
\]
---
Problem 3:
-
Base: 10 units
-
Height: 4 units
\[
\text{Area} = \text{base} \times \text{height} = 10 \times 4 = 40 \text{ square units}
\]
---
Problem 4:
-
Base: 9 units
-
Height: 6 units
\[
\text{Area} = \text{base} \times \text{height} = 9 \times 6 = 54 \text{ square units}
\]
---
Problem 5:
-
Base: 12 units
-
Height: 3 units
\[
\text{Area} = \text{base} \times \text{height} = 12 \times 3 = 36 \text{ square units}
\]
---
Final Answers:
\[
\boxed{40, 42, 40, 54, 36}
\]
---
Explanation:
1.
Formula Application: The area of a parallelogram is calculated using the formula \( \text{Area} = \text{base} \times \text{height} \). This formula works because the height represents the perpendicular distance, ensuring that the calculation accounts for the actual "space" covered by the parallelogram.
2.
Identifying Base and Height: For each parallelogram, the base is explicitly given, and the height is the perpendicular distance from the base to the opposite side. These values are used directly in the formula.
3.
Units: Since the dimensions are given in units, the area will be in square units (e.g., square centimeters, square meters, etc.).
This method ensures accuracy and consistency in calculating the areas of all the parallelograms.
Parent Tip: Review the logic above to help your child master the concept of area of parallelograms worksheet.
