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

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)
7
(
𝑙
 
+
 
2
𝑤
)
 , where  l
𝑙
  is the length and  w
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

$98
$98

$63
$63

$39
$39

$16

GPT-4o mini · Answer

To find the cost to fence Mr. Rodriguez's vegetable garden, we will first evaluate the expression $ 7(l + 2w) $ given that the length $ l $ is 5 yards and the width $ w $ is 2 yards.

Substitute $ l = 5 $ and $ w = 2 $ into the expression:

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

Now, multiply the total by 7 to find the cost:

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

Therefore, the cost to fence the garden is $63.