Question

Sulio wants to build a wooden fence to enclose his vegetable garden. Determine the amount of fencing he needs by finding the perimeter of the garden.

Perimeter = 2 times length + 2 times width. The length of a garden is 8 feet and the width is 6 feet.

Evaluate the formula for the perimeter of a parallelogram to solve the problem. Then check all that apply.
First, write the formula for the perimeter of a parallelogram, P = 2l + 2w.
Next, use parentheses when you substitute 8 for l and 6 for w.
After multiplying, add 16 and 12.
Sulio needs 28 feet of fencing.
Sulio needs 48 feet of fencing.

Answer 1

To find the amount of fencing Sulio needs for his vegetable garden, we will use the formula for the perimeter of a rectangle (which is applicable here since a vegetable garden is typically rectangular).

The formula for the perimeter \( P \) is given by:

\[
P = 2l + 2w
\]

where \( l \) is the length and \( w \) is the width. In this case:

- Length \( l = 8 \) feet
- Width \( w = 6 \) feet

Substituting these values into the formula, we have:

\[
P = 2(8) + 2(6)
\]

Now, we can calculate each part:

\[
P = 16 + 12
\]

Adding these together results in:

\[
P = 28 \text{ feet}
\]

So, Sulio needs **28 feet of fencing** for his vegetable garden.

Now we can check the statements provided:

- "Sulio needs 28 feet of fencing." ✔️ (True, this is correct.)
- "Sulio needs 48 feet of fencing." ❌ (False, this is incorrect.)

Thus, the correct answer is that Sulio needs **28 feet of fencing**.