To solve the problem of finding the perimeters of the rectangles and squares, we will use the formulas for the perimeter of a rectangle and a square:
1.
Perimeter of a Rectangle:
The formula is:
\[
\text{Perimeter} = 2 \times (\text{Length} + \text{Breadth})
\]
Alternatively, you can add all four sides:
\[
\text{Perimeter} = \text{Length} + \text{Breadth} + \text{Length} + \text{Breadth}
\]
2.
Perimeter of a Square:
The formula is:
\[
\text{Perimeter} = 4 \times \text{Side}
\]
Alternatively, you can add all four sides:
\[
\text{Perimeter} = \text{Side} + \text{Side} + \text{Side} + \text{Side}
\]
Now, let's solve each part step by step:
---
1) Perimeter of the Rectangle (8 cm × 3 cm)
-
Given: Length = 8 cm, Breadth = 3 cm
-
Formula: Perimeter = \(2 \times (\text{Length} + \text{Breadth})\)
-
Step-by-Step:
\[
\text{Perimeter} = 2 \times (8 + 3) = 2 \times 11 = 22 \, \text{cm}
\]
-
Alternative Method:
\[
\text{Perimeter} = 8 + 3 + 8 + 3 = 22 \, \text{cm}
\]
-
Answer:
\[
\boxed{22}
\]
---
2) Perimeter of the Square (5 cm × 5 cm)
-
Given: Side = 5 cm
-
Formula: Perimeter = \(4 \times \text{Side}\)
-
Step-by-Step:
\[
\text{Perimeter} = 4 \times 5 = 20 \, \text{cm}
\]
-
Alternative Method:
\[
\text{Perimeter} = 5 + 5 + 5 + 5 = 20 \, \text{cm}
\]
-
Answer:
\[
\boxed{20}
\]
---
3) Perimeter of the Square (7 cm × 7 cm)
-
Given: Side = 7 cm
-
Formula: Perimeter = \(4 \times \text{Side}\)
-
Step-by-Step:
\[
\text{Perimeter} = 4 \times 7 = 28 \, \text{cm}
\]
-
Answer:
\[
\boxed{28}
\]
---
4) Perimeter of the Rectangle (6 cm × 4 cm)
-
Given: Length = 6 cm, Breadth = 4 cm
-
Formula: Perimeter = \(2 \times (\text{Length} + \text{Breadth})\)
-
Step-by-Step:
\[
\text{Perimeter} = 2 \times (6 + 4) = 2 \times 10 = 20 \, \text{cm}
\]
-
Alternative Method:
\[
\text{Perimeter} = 6 + 4 + 6 + 4 = 20 \, \text{cm}
\]
-
Answer:
\[
\boxed{20}
\]
---
Final Answers
1. Perimeter of the rectangle (8 cm × 3 cm): \(\boxed{22}\)
2. Perimeter of the square (5 cm × 5 cm): \(\boxed{20}\)
3. Perimeter of the square (7 cm × 7 cm): \(\boxed{28}\)
4. Perimeter of the rectangle (6 cm × 4 cm): \(\boxed{20}\)
---
Explanation
- For rectangles, always remember to add the lengths and breadths or use the formula \(2 \times (\text{Length} + \text{Breadth})\).
- For squares, since all sides are equal, simply multiply one side by 4.
- The perimeter is the total distance around the shape, so it involves adding up all the sides.
Final Answer Boxed:
\[
\boxed{22, 20, 28, 20}
\]
Parent Tip: Review the logic above to help your child master the concept of perimeter worksheet for grade 4.
