To solve the problem of finding the perimeter of each given quadrilateral, we need to use the formula for the perimeter of a quadrilateral, which is the sum of the lengths of all its sides. Let's go through each quadrilateral step by step.
Quadrilateral 1:
- Shape: Rectangle
- Sides: \(3 \, \text{cm}, 2.5 \, \text{cm}, 3 \, \text{cm}, 2.5 \, \text{cm}\)
- Perimeter:
\[
\text{Perimeter} = 3 + 2.5 + 3 + 2.5 = 11 \, \text{cm}
\]
Quadrilateral 2:
- Shape: Square
- Sides: \(9 \, \text{yd}, 9 \, \text{yd}, 9 \, \text{yd}, 9 \, \text{yd}\)
- Perimeter:
\[
\text{Perimeter} = 9 + 9 + 9 + 9 = 36 \, \text{yd}
\]
Quadrilateral 3:
- Shape: Rhombus
- Sides: \(17 \, \text{mm}, 17 \, \text{mm}, 17 \, \text{mm}, 17 \, \text{mm}\)
- Perimeter:
\[
\text{Perimeter} = 17 + 17 + 17 + 17 = 68 \, \text{mm}
\]
Quadrilateral 4:
- Shape: Trapezoid
- Sides: \(13 \, \text{in}, 9 \, \text{in}, 6 \, \text{in}, 17 \, \text{in}\)
- Perimeter:
\[
\text{Perimeter} = 13 + 9 + 6 + 17 = 45 \, \text{in}
\]
Quadrilateral 5:
- Shape: Rhombus
- Sides: \(4 \, \text{mm}, 4 \, \text{mm}, 4 \, \text{mm}, 4 \, \text{mm}\)
- Perimeter:
\[
\text{Perimeter} = 4 + 4 + 4 + 4 = 16 \, \text{mm}
\]
Quadrilateral 6:
- Shape: Irregular Quadrilateral
- Sides: \(2 \, \text{ft}, 4.5 \, \text{ft}, 3 \, \text{ft}, 5.5 \, \text{ft}\)
- Perimeter:
\[
\text{Perimeter} = 2 + 4.5 + 3 + 5.5 = 15 \, \text{ft}
\]
Quadrilateral 7:
- Shape: Trapezoid
- Sides: \(4 \, \text{in}, 17 \, \text{in}, 17 \, \text{in}, 24 \, \text{in}\)
- Perimeter:
\[
\text{Perimeter} = 4 + 17 + 17 + 24 = 62 \, \text{in}
\]
Quadrilateral 8:
- Shape: Rectangle
- Sides: \(9.9 \, \text{yd}, 2.2 \, \text{yd}, 9.9 \, \text{yd}, 2.2 \, \text{yd}\)
- Perimeter:
\[
\text{Perimeter} = 9.9 + 2.2 + 9.9 + 2.2 = 24.2 \, \text{yd}
\]
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 11 \, \text{cm} \\
2. & 36 \, \text{yd} \\
3. & 68 \, \text{mm} \\
4. & 45 \, \text{in} \\
5. & 16 \, \text{mm} \\
6. & 15 \, \text{ft} \\
7. & 62 \, \text{in} \\
8. & 24.2 \, \text{yd} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of quadrilateral area worksheet answers.
