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

$39
$39

$63
$63

$98

1 answer

To find the cost of the fence for Mr. Rodriguez's garden, we first need to evaluate the expression \( 7(l + 2w) \) using the given dimensions.

Given:

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

Now, substitute the values into the expression:

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

  2. Now substitute \( l \) and \( 2w \) into the expression \( l + 2w \): \[ l + 2w = 5 + 4 = 9 \]

  3. Multiply this sum by 7 to find the total cost: \[ 7(l + 2w) = 7 \times 9 = 63 \]

Thus, the cost for the fence is \( \boxed{63} \).