To solve the problem, we need to determine the perimeter of the given shape. Let's break it down step by step.
Step 1: Understand the Shape
The shape is a modified rectangle with an indentation on one side. The dimensions provided are:
- Top side: 6 cm
- Right side: 4 cm
- Bottom side: 6 cm (same as the top side)
- Left side: 4 cm (same as the right side)
However, there is an indentation on the bottom-left corner:
- The indentation consists of two segments:
- A vertical segment of 2 cm.
- A horizontal segment of 3 cm.
Step 2: Calculate the Perimeter
The perimeter of a shape is the total length of its boundary. To find the perimeter, we need to sum the lengths of all the outer edges.
#### Outer Edges:
1.
Top side: 6 cm
2.
Right side: 4 cm
3.
Bottom side: 6 cm
4.
Left side: 4 cm
However, due to the indentation, the left side is not a single straight line but is broken into two segments:
- The vertical part of the left side is reduced by 2 cm (the height of the indentation).
- The horizontal part of the bottom side is reduced by 3 cm (the width of the indentation).
#### Adjusted Left Side:
- The vertical part of the left side is \(4 \text{ cm} - 2 \text{ cm} = 2 \text{ cm}\).
- The horizontal part of the bottom side is \(6 \text{ cm} - 3 \text{ cm} = 3 \text{ cm}\).
#### Additional Segments Due to Indentation:
- The indentation adds two extra segments:
- A vertical segment of 2 cm.
- A horizontal segment of 3 cm.
Step 3: Sum All the Segments
Now, let's sum up all the segments that form the perimeter:
1.
Top side: 6 cm
2.
Right side: 4 cm
3.
Bottom side (adjusted): 3 cm
4.
Left side (vertical part): 2 cm
5.
Indentation (vertical segment): 2 cm
6.
Indentation (horizontal segment): 3 cm
Calculation:
\[
\text{Perimeter} = 6 + 4 + 3 + 2 + 2 + 3 = 20 \text{ cm}
\]
Final Answer:
\[
\boxed{20}
\]
Parent Tip: Review the logic above to help your child master the concept of perimeter of geometric shapes.
