Question
Len has rectangular wooden deck that measures 14ft by 25ft he bulids an addition to the deck that makes it 6ft longer what is the perimeter
Answers
GPT-4o mini
To find the perimeter of the rectangular wooden deck after adding 6 feet to its length, we first need to determine the new dimensions of the deck.
1. Original dimensions:
- Length = 25 ft
- Width = 14 ft
2. After adding 6 ft to the length:
- New Length = 25 ft + 6 ft = 31 ft
- Width remains the same = 14 ft
3. Now, we calculate the perimeter (P) using the formula for the perimeter of a rectangle, which is:
\[
P = 2 \times (\text{Length} + \text{Width})
\]
4. Substituting the new dimensions into the formula:
\[
P = 2 \times (31 \, \text{ft} + 14 \, \text{ft}) = 2 \times 45 \, \text{ft} = 90 \, \text{ft}
\]
Therefore, the perimeter of the deck after the addition is **90 feet**.
1. Original dimensions:
- Length = 25 ft
- Width = 14 ft
2. After adding 6 ft to the length:
- New Length = 25 ft + 6 ft = 31 ft
- Width remains the same = 14 ft
3. Now, we calculate the perimeter (P) using the formula for the perimeter of a rectangle, which is:
\[
P = 2 \times (\text{Length} + \text{Width})
\]
4. Substituting the new dimensions into the formula:
\[
P = 2 \times (31 \, \text{ft} + 14 \, \text{ft}) = 2 \times 45 \, \text{ft} = 90 \, \text{ft}
\]
Therefore, the perimeter of the deck after the addition is **90 feet**.