To solve the problems involving the area of a parallelogram, we use the formula:
\[
\text{Area} = \text{base} \times \text{height}
\]
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 problem step by step.
---
Problem 1:
-
Base (BC): 6 cm
-
Height (AE): 4 cm
\[
\text{Area} = \text{base} \times \text{height} = 6 \, \text{cm} \times 4 \, \text{cm} = 24 \, \text{cm}^2
\]
Answer: \( 24 \, \text{cm}^2 \)
---
Problem 2:
-
Base (PQ): 8 cm
-
Height (NR): 5 cm
\[
\text{Area} = \text{base} \times \text{height} = 8 \, \text{cm} \times 5 \, \text{cm} = 40 \, \text{cm}^2
\]
Answer: \( 40 \, \text{cm}^2 \)
---
Problem 3:
-
Base (XY): 7 cm
-
Height (WZ): 3 cm
\[
\text{Area} = \text{base} \times \text{height} = 7 \, \text{cm} \times 3 \, \text{cm} = 21 \, \text{cm}^2
\]
Answer: \( 21 \, \text{cm}^2 \)
---
Problem 4:
-
Base (CD): 9 cm
-
Height (AF): 6 cm
\[
\text{Area} = \text{base} \times \text{height} = 9 \, \text{cm} \times 6 \, \text{cm} = 54 \, \text{cm}^2
\]
Answer: \( 54 \, \text{cm}^2 \)
---
Problem 5:
-
Base (MN): 10 cm
-
Height (OP): 7 cm
\[
\text{Area} = \text{base} \times \text{height} = 10 \, \text{cm} \times 7 \, \text{cm} = 70 \, \text{cm}^2
\]
Answer: \( 70 \, \text{cm}^2 \)
---
Final Answer:
\[
\boxed{24, 40, 21, 54, 70}
\]
Parent Tip: Review the logic above to help your child master the concept of area of parallelogram worksheet.
