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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.

Given:
[tex]\[ P = 2l + 2w \][/tex]
[tex]\[ w = 6 \text{ ft} \][/tex]
[tex]\[ l = 8 \text{ ft} \][/tex]

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: [tex]\[ P = 2l + 2w \][/tex]

Next, use parentheses when you substitute 8 for [tex]\[ l \][/tex] and 6 for [tex]\[ w \][/tex].

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

After multiplying, add 16 and 12.

Sulio needs:
A. 28 feet of fencing.
B. 48 feet of fencing.



Answer :

GinnyAnswer
To determine the amount of fencing Sulio needs, we'll find the perimeter of his garden, which has the dimensions provided.

1. Write the formula for the perimeter of a parallelogram:
[tex]\[ P = 2l + 2w \][/tex]

2. Substitute the given values into the formula:
- Length [tex]\( l = 8 \)[/tex] feet
- Width [tex]\( w = 6 \)[/tex] feet

Now substitute these values into the formula:
[tex]\[ P = 2(8) + 2(6) \][/tex]

3. Multiply the terms:
- Calculate [tex]\( 2 \times 8 = 16 \)[/tex]
- Calculate [tex]\( 2 \times 6 = 12 \)[/tex]

4. Add the results:
- Sum the two products: [tex]\( 16 + 12 = 28 \)[/tex]

Therefore, Sulio needs 28 feet of fencing to enclose his vegetable garden.

Finally, checking the statements provided:
- "Sulio needs 28 feet of fencing" is correct.
- "Sulio needs 48 feet of fencing" is incorrect.

Sulio needs exactly 28 feet of fencing for his project.

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