To solve the problem of finding the
perimeter of the house using the provided floor plan, we need to follow these steps:
---
Step 1: Understand the Problem
The perimeter of a shape is the total length of its outer boundary. For this floor plan, we need to calculate the total length of the outer edges of the house.
---
Step 2: Identify the Outer Edges
We will trace the outer boundary of the house and add up the lengths of all the segments that form the perimeter. Note that internal walls (e.g., those separating rooms) do not contribute to the perimeter.
From the floor plan:
- The outer edges are marked with dimensions.
- Some edges may be inferred if they are not explicitly labeled but can be deduced from adjacent measurements.
---
Step 3: Break Down the Perimeter into Segments
Let's break the perimeter into manageable segments and sum their lengths. We'll start from one corner and move clockwise around the outer boundary.
####
Top Side:
- From the top-left corner to the top-right corner:
- Leftmost segment: \( 5 \, \text{ft} \)
- Next segment: \( 2 \, \text{ft} \)
- Next segment: \( 7 \, \text{ft} \)
- Next segment: \( 18 \, \text{ft} \)
- Rightmost segment: \( 9 \, \text{ft} \)
####
Right Side:
- From the top-right corner to the bottom-right corner:
- Top segment: \( 5 \, \text{ft} \)
- Middle segment: \( 9 \, \text{ft} \)
- Bottom segment: \( 6 \, \text{ft} \)
####
Bottom Side:
- From the bottom-right corner to the bottom-left corner:
- Rightmost segment: \( 6 \, \text{ft} \)
- Next segment: \( 6 \, \text{ft} \)
- Next segment: \( 6 \, \text{ft} \)
- Next segment: \( 23 \, \text{ft} \)
####
Left Side:
- From the bottom-left corner to the top-left corner:
- Bottom segment: \( 16 \, \text{ft} \)
- Middle segment: \( 5 \, \text{ft} \)
- Top segment: \( 5 \, \text{ft} \)
---
Step 4: Sum the Lengths
Now, let's add up all the segments:
#### Top Side:
\[ 5 + 2 + 7 + 18 + 9 = 41 \, \text{ft} \]
#### Right Side:
\[ 5 + 9 + 6 = 20 \, \text{ft} \]
#### Bottom Side:
\[ 6 + 6 + 6 + 23 = 41 \, \text{ft} \]
#### Left Side:
\[ 16 + 5 + 5 = 26 \, \text{ft} \]
---
Step 5: Calculate the Total Perimeter
Add up all the side lengths:
\[ 41 + 20 + 41 + 26 = 128 \, \text{ft} \]
---
Final Answer:
\[
\boxed{128}
\]
Parent Tip: Review the logic above to help your child master the concept of super teacher worksheet perimeter.