To solve the problem of finding the perimeter of each compound shape, we need to add up all the lengths of the outer edges of each shape. Let's go through each shape step by step.
Shape 1:
- The shape is a combination of a rectangle and a right triangle.
- The given dimensions are:
- Top side: 10 cm
- Left side: 1 cm
- Bottom side: 4 cm
- Right side: 9 cm
- Slanted side (hypotenuse): 10 cm
The perimeter is the sum of all these sides:
\[
\text{Perimeter} = 10 + 1 + 4 + 9 + 10 = 34 \text{ cm}
\]
Shape 2:
- The shape is a combination of a rectangle and two right triangles.
- The given dimensions are:
- Top side: 5 cm
- Right side: 4 cm
- Bottom side: 8 cm
- Left side: 3 cm
- Two vertical segments: 3 cm each
The perimeter is the sum of all these sides:
\[
\text{Perimeter} = 5 + 4 + 8 + 3 + 3 + 3 = 26 \text{ cm}
\]
Shape 3:
- The shape is a combination of a rectangle and a right triangle.
- The given dimensions are:
- Top side: 10 cm
- Left side: 6 cm
- Bottom side: 10 cm
- Right side: 4 cm
- Vertical segment: 2 cm
- Slanted side (hypotenuse): 10 cm
The perimeter is the sum of all these sides:
\[
\text{Perimeter} = 10 + 6 + 2 + 4 + 10 = 32 \text{ cm}
\]
Shape 4:
- The shape is a combination of a rectangle and an isosceles triangle.
- The given dimensions are:
- Top side: 10 cm
- Two vertical sides: 4 cm each
- Base of the triangle: 6 cm
- Two slanted sides of the triangle: 4 cm each
The perimeter is the sum of all these sides:
\[
\text{Perimeter} = 10 + 4 + 4 + 6 + 4 + 4 = 32 \text{ cm}
\]
Shape 5:
- The shape is a combination of a rectangle and a trapezoid.
- The given dimensions are:
- Top side: 12 cm
- Left side: 9 cm
- Bottom side: 6 cm
- Right side: 9 cm
- Two slanted sides: 5 cm each
The perimeter is the sum of all these sides:
\[
\text{Perimeter} = 12 + 9 + 6 + 9 + 5 + 5 = 46 \text{ cm}
\]
Shape 6:
- The shape is a combination of two right triangles.
- The given dimensions are:
- Top side: 15 cm
- Left side: 7 cm
- Right side: 7 cm
- Bottom side: 15 cm
The perimeter is the sum of all these sides:
\[
\text{Perimeter} = 15 + 7 + 7 + 15 = 44 \text{ cm}
\]
Final Answers:
\[
\boxed{34, 26, 32, 32, 46, 44}
\]
Parent Tip: Review the logic above to help your child master the concept of decomposing shapes to find area worksheet.
