Step 1: Identify all side lengths. The room is L-shaped. We have lengths 8 m, 5 m, 5 m, and 3 m. The total length of the outer vertical side is 5 m. The inner vertical side is 3 m. So, the missing vertical side is 5 m − 3 m = 2 m. The total length of the outer horizontal side is 8 m. The inner horizontal side is 5 m. So, the missing horizontal side is 8 m − 5 m = 3 m. The side lengths are 8 m, 5 m, 3 m, 2 m, 5 m, and 3 m. Step 2: Calculate the perimeter. The perimeter is the sum of all side lengths. Perimeter = 8 m + 5 m + 3 m + 2 m + 5 m + 3 m Step 3: Sum the lengths. Perimeter = 26 m The perimeter of the L-shaped room is 26 m.

Find the perimeter

May 13, 2026Mathematics

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Step-by-step solution

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Identify all side lengths.
The room is L-shaped. We have lengths $8 \text{ m}$ , $5 \text{ m}$ , $5 \text{ m}$ , and $3 \text{ m}$ .
The total length of the outer vertical side is $5 \text{ m}$ . The inner vertical side is $3 \text{ m}$ . So, the missing vertical side is $5 \text{ m} - 3 \text{ m} = 2 \text{ m}$ .
The total length of the outer horizontal side is $8 \text{ m}$ . The inner horizontal side is $5 \text{ m}$ . So, the missing horizontal side is $8 \text{ m} - 5 \text{ m} = 3 \text{ m}$ .

The side lengths are $8 \text{ m}$ , $5 \text{ m}$ , $3 \text{ m}$ , $2 \text{ m}$ , $5 \text{ m}$ , and $3 \text{ m}$ .
Calculate the perimeter.
The perimeter is the sum of all side lengths.
Perimeter = $8 \text{ m} + 5 \text{ m} + 3 \text{ m} + 2 \text{ m} + 5 \text{ m} + 3 \text{ m}$
Sum the lengths.
Perimeter = $26 \text{ m}$

The perimeter of the L-shaped room is 26 m.

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Find the perimeter

Step-by-step solution

Identify all side lengths.

Calculate the perimeter.

Sum the lengths.

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