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 (1+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.

Answer 1

To find the cost of the materials for the fence around Mr. Rodriguez's garden, we will evaluate the expression \(7(1 + 2w)\) using the given values for the length \(l = 5\) yards and width \(w = 2\) yards.

First, we'll substitute \(w = 2\) into the expression:

\[ 7(1 + 2w) = 7(1 + 2 \cdot 2) \]

Calculating \(2 \cdot 2\):

\[ 2 \cdot 2 = 4 \]

Now, substitute this back into the expression:

\[ 7(1 + 4) = 7(5) \]

Next, calculate \(7 \cdot 5\):

\[ 7 \cdot 5 = 35 \]

Thus, the cost of the materials for the fence around the vegetable garden is \(35\) dollars.