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)

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), 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

$63
$63

$98
$98

$16
$16

$39

GPT-4o mini · Answer

To determine the cost of Mr. Rodriguez's fence, we can use the expression $7(l + 2w)$, where $l$ is the length and $w$ is the width of the garden.

Given:

Length ($l$) = 5 yards
Width ($w$) = 2 yards

First, we substitute $l$ and $w$ into the expression:

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

Calculating $2 \times 2$: \[ 2 \times 2 = 4 \]

Now substitute that back into the expression: \[ 7(5 + 4) = 7(9) \]

Now, calculate $7 \times 9$: \[ 7 \times 9 = 63 \]

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