Given shape: Rectangle

Here are the perimeters for the given shapes and two additional shapes with the same perimeter for each.

1. Given shape: Rectangle

• Sides: $5 \text{ cm}$, $3 \text{ cm}$

• Perimeter:

  $$P = 2 \times (5 \text{ cm} + 3 \text{ cm})$$ $$P = 2 \times 8 \text{ cm}$$ $$P = 16 \text{ cm}$$
  • Shape one: A square with side length $4 \text{ cm}$. (Perimeter: $4 \times 4 \text{ cm} = 16 \text{ cm}$)
  • Shape two: A triangle with sides $4 \text{ cm}$, $6 \text{ cm}$, and $6 \text{ cm}$. (Perimeter: $4 \text{ cm} + 6 \text{ cm} + 6 \text{ cm} = 16 \text{ cm}$)

2. Given shape: Triangle

• Sides: $3 \text{ cm}$, $3 \text{ cm}$, $4 \text{ cm}$

• Perimeter:

  $$P = 3 \text{ cm} + 3 \text{ cm} + 4 \text{ cm}$$ $$P = 10 \text{ cm}$$
  • Shape one: A square with side length $2.5 \text{ cm}$. (Perimeter: $4 \times 2.5 \text{ cm} = 10 \text{ cm}$)
  • Shape two: A rectangle with sides $4 \text{ cm}$ and $1 \text{ cm}$. (Perimeter: $2 \times (4 \text{ cm} + 1 \text{ cm}) = 2 \times 5 \text{ cm} = 10 \text{ cm}$)

3. Given shape: Hexagon

• Sides: $2 \text{ cm}$ (all 6 sides)

• Perimeter:

  $$P = 6 \times 2 \text{ cm}$$ $$P = 12 \text{ cm}$$
  • Shape one: A square with side length $3 \text{ cm}$. (Perimeter: $4 \times 3 \text{ cm} = 12 \text{ cm}$)
  • Shape two: A rectangle with sides $5 \text{ cm}$ and $1 \text{ cm}$. (Perimeter: $2 \times (5 \text{ cm} + 1 \text{ cm}) = 2 \times 6 \text{ cm} = 12 \text{ cm}$)