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 answer

To find the cost of the fence for Mr. Rodriguez's vegetable garden, we'll first evaluate the expression \( 7(l + 2w) \) using the given dimensions: length \( l = 5 \) yards and width \( w = 2 \) yards.

  1. Substitute the values of \( l \) and \( w \) into the expression:

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

  2. Calculate \( 2w \):

    \[ 2w = 2 \times 2 = 4 \]

  3. Now substitute this value back into the expression:

    \[ 7(5 + 4) = 7(9) \]

  4. Calculate \( 7 \times 9 \):

    \[ 7 \times 9 = 63 \]

Thus, the total cost for the fence is \($63\).