To find out the amount of fencing needed to surround the walkway around the garden, we first need to determine the total dimensions of the garden plus the walkway.
The garden itself is 5 ft by 6 ft.
The walkway is 2.5 ft wide and surrounds the garden on all sides. This means the total length and width of the garden plus the walkway will be:
**Length including walkway:**
\[ 6 \text{ ft (garden length)} + 2.5 \text{ ft (walkway on one end)} + 2.5 \text{ ft (walkway on the other end)} = 6 + 5 = 11 \text{ ft} \]
**Width including walkway:**
\[ 5 \text{ ft (garden width)} + 2.5 \text{ ft (walkway on one side)} + 2.5 \text{ ft (walkway on the other side)} = 5 + 5 = 10 \text{ ft} \]
Now, we calculate the perimeter of the combined area:
\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \]
\[ \text{Perimeter} = 2 \times (11 \text{ ft} + 10 \text{ ft}) \]
\[ \text{Perimeter} = 2 \times 21 \text{ ft} \]
\[ \text{Perimeter} = 42 \text{ ft} \]
Therefore, the amount of fencing needed to surround the walkway is 42 feet.
The correct answer is:
**42 ft**
1.
A garden that is 5 ft by 6 ft has a walkway that is 2.5 ft wide around it. Find the amount of fencing needed to surround the walkway.
42 ft
75 ft
110 ft
90 ft
1 answer