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

$39
$39

$63
$63

$98
$98

$16

1 answer

To find the cost for the materials needed to build the fence around Mr. Rodriguez's garden, we can use the formula given:

\[ \text{Cost} = 7(l + 2w) \]

where \( l \) is the length and \( w \) is the width of the garden.

We know that:

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

First, we calculate \( l + 2w \):

  1. Calculate \( 2w \): \[ 2w = 2 \times 2 = 4 \]

  2. Now calculate \( l + 2w \): \[ l + 2w = 5 + 4 = 9 \]

Now we can find the total cost:

\[ \text{Cost} = 7(l + 2w) = 7 \times 9 = 63 \]

So, the cost for the fence is \( \mathbf{63} \).

The answer is:

$63