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)

Question

, 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)
Responses

$16
$16

$63
$63

$98
$98

Answer 1

To find the cost of the fence around Mr. Rodriguez's garden, we can evaluate the expression \( 7(l + 2w) \) using the given values for length \( l \) and width \( w \).

Given:

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

Now, substitute these values into the expression:

\[ 7(l + 2w) = 7(5 + 2 \times 2) \]

Calculate \( 2w \):

\[ 2 \times 2 = 4 \]

Now, substitute this back into the expression:

\[ 7(5 + 4) = 7(9) \]

Now, multiply:

\[ 7 \times 9 = 63 \]

Thus, the total cost for the materials to fence around the garden is \( \text{$63} \).

So the correct response is:

$63