To solve the problem of finding the perimeter of each 2D shape, we need to add up the lengths of all the sides of each shape. Let's go through each shape step by step.
1) Rectangle
- The rectangle has two pairs of equal sides.
- Length = 7 cm, Width = 2 cm.
- Perimeter formula for a rectangle: \( P = 2 \times (\text{Length} + \text{Width}) \).
- Calculation:
\[
P = 2 \times (7 + 2) = 2 \times 9 = 18 \, \text{cm}
\]
2) Triangle
- The triangle has sides of lengths 4 cm, 3 cm, and 6 cm.
- Perimeter formula for a triangle: \( P = \text{Side}_1 + \text{Side}_2 + \text{Side}_3 \).
- Calculation:
\[
P = 4 + 3 + 6 = 13 \, \text{cm}
\]
3) Irregular Quadrilateral
- The quadrilateral has sides of lengths 7 cm, 2 cm, 5 cm, and 6 cm.
- Perimeter formula for any polygon: \( P = \text{Sum of all side lengths} \).
- Calculation:
\[
P = 7 + 2 + 5 + 6 = 20 \, \text{cm}
\]
4) Triangle
- The triangle has sides of lengths 7 m, 10 m, and 11 m.
- Perimeter formula for a triangle: \( P = \text{Side}_1 + \text{Side}_2 + \text{Side}_3 \).
- Calculation:
\[
P = 7 + 10 + 11 = 28 \, \text{m}
\]
5) Pentagon
- The pentagon has sides of lengths 6 mm, 6 mm, 4 mm, 4 mm, and 7 mm.
- Perimeter formula for any polygon: \( P = \text{Sum of all side lengths} \).
- Calculation:
\[
P = 6 + 6 + 4 + 4 + 7 = 27 \, \text{mm}
\]
6) Irregular Hexagon
- The hexagon has sides of lengths 6 cm, 3 cm, 2 cm, 3 cm, 2 cm, and 6 cm.
- Perimeter formula for any polygon: \( P = \text{Sum of all side lengths} \).
- Calculation:
\[
P = 6 + 3 + 2 + 3 + 2 + 6 = 22 \, \text{cm}
\]
Final Answers
\[
\boxed{
\begin{array}{ll}
1) & 18 \, \text{cm} \\
2) & 13 \, \text{cm} \\
3) & 20 \, \text{cm} \\
4) & 28 \, \text{m} \\
5) & 27 \, \text{mm} \\
6) & 22 \, \text{cm} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of adding perimeter worksheet.
