Mr. Rodriguez has a vegetable garden that borders his house. He wants to put a fence around it. It costs $7 per yard for the materials. Evaluate 7(l + 2w) , where l is the length and w is the width of his garden, to find the cost for a garden that has a length of 5 yards and a width of 2 yards.(1 point)

Question

Responses

$63
$63

$39
$39

$16
$16

$98

Answer 1

To find the cost of the fence for Mr. Rodriguez's garden, we can use the expression \( 7(l + 2w) \), where \( l \) is the length and \( w \) is the width of the garden.

Given:

• \( l = 5 \) yards (length)
• \( w = 2 \) yards (width)

First, we need to calculate the perimeter of the garden using the formula \( l + 2w \).

1. Substitute the values into the expression:

\[ l + 2w = 5 + 2(2) \]

2. Calculate \( 2w \):

\[ 2w = 2 \times 2 = 4 \]

3. Now substitute back:

\[ l + 2w = 5 + 4 = 9 \]

4. Now we can calculate the total cost using the expression \( 7(l + 2w) \):

\[ 7(l + 2w) = 7 \times 9 = 63 \]

Thus, the cost for the garden fence is $63.

The correct response is:

$63