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)

Responses

$16
$16

$63
$63

$98
$98

$39

1 answer

To find the cost of materials for the fence, we need to first evaluate the expression \( 7(l + 2w) \) using the given values for length \( l \) and width \( w \).

Given:

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

Now, substitute the values into the expression:

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

Calculate \( 2w \):

\[ 2w = 2(2) = 4 \]

Now substitute that back into the expression:

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

Now multiply:

\[ 7 \times 9 = 63 \]

So, the cost for the fence is $63.

The correct response is:

$63