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.