Find the perimeter of the plan below.

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here's the solution for the house plan:

Question: Find the perimeter of the house plan below.

The shape is a composite figure with a rectangular indentation on its top side. To find the perimeter, we need to sum the lengths of all the outer edges.

Identify the lengths of all the outer segments of the shape.
- Left vertical side: $8 \text{ cm}$
- Bottom horizontal side: This is the sum of the three segments at the top, which are $5 \text{ cm} + 5 \text{ cm} + 5 \text{ cm} = 15 \text{ cm}$ . So, the bottom horizontal side is $15 \text{ cm}$ .
- Right vertical side: $8 \text{ cm}$
- Top right horizontal segment: $5 \text{ cm}$
- Inner vertical segment (going downwards into the indentation): $5 \text{ cm}$
- Inner horizontal segment (at the base of the indentation): $5 \text{ cm}$
- Inner vertical segment (going upwards out of the indentation): $5 \text{ cm}$
- Top left horizontal segment: $5 \text{ cm}$
Add all the identified side lengths to calculate the perimeter.
$\text{Perimeter} = 8 \text{ cm} + 15 \text{ cm} + 8 \text{ cm} + 5 \text{ cm} + 5 \text{ cm} + 5 \text{ cm} + 5 \text{ cm} + 5 \text{ cm}$ $\text{Perimeter} = 56 \text{ cm}$
The perimeter of the house plan is $\text{56 cm}$ .

Find the perimeter of the plan below.

Answer

Step-by-step solution

Identify the lengths of all the outer segments of the shape.

Add all the identified side lengths to calculate the perimeter.

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