To solve the problem of finding the area of each shape, we need to use the appropriate formulas for squares, rectangles, and parallelograms. Let's go through each shape step by step.
1) Square with side length 5 cm
-
Formula for the area of a square: \( \text{Area} = \text{side}^2 \)
- Given: Side length = 5 cm
- Calculation:
\[
\text{Area} = 5^2 = 25 \, \text{cm}^2
\]
2) Square with side length 4 cm
-
Formula for the area of a square: \( \text{Area} = \text{side}^2 \)
- Given: Side length = 4 cm
- Calculation:
\[
\text{Area} = 4^2 = 16 \, \text{cm}^2
\]
3) Rectangle with dimensions 5 cm × 2 cm
-
Formula for the area of a rectangle: \( \text{Area} = \text{length} \times \text{width} \)
- Given: Length = 5 cm, Width = 2 cm
- Calculation:
\[
\text{Area} = 5 \times 2 = 10 \, \text{cm}^2
\]
4) Rectangle with dimensions 6 cm × 4 cm
-
Formula for the area of a rectangle: \( \text{Area} = \text{length} \times \text{width} \)
- Given: Length = 6 cm, Width = 4 cm
- Calculation:
\[
\text{Area} = 6 \times 4 = 24 \, \text{cm}^2
\]
5) Parallelogram with base 2 m and height 4 m
-
Formula for the area of a parallelogram: \( \text{Area} = \text{base} \times \text{height} \)
- Given: Base = 2 m, Height = 4 m
- Calculation:
\[
\text{Area} = 2 \times 4 = 8 \, \text{m}^2
\]
6) Parallelogram with base 2 m and height 3 m
-
Formula for the area of a parallelogram: \( \text{Area} = \text{base} \times \text{height} \)
- Given: Base = 2 m, Height = 3 m
- Calculation:
\[
\text{Area} = 2 \times 3 = 6 \, \text{m}^2
\]
Final Answers
\[
\boxed{25, 16, 10, 24, 8, 6}
\]
Explanation
1.
Squares: The area is calculated by squaring the side length.
2.
Rectangles: The area is calculated by multiplying the length by the width.
3.
Parallelograms: The area is calculated by multiplying the base by the height.
Each step follows the respective formula, ensuring accurate calculations for all shapes.
Parent Tip: Review the logic above to help your child master the concept of area parallelogram worksheet.