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Question

Part 1
A garden is in the shape of a rectangle 34 feet long and 12 feet wide. If fencing costs $ 3 a​ foot, what will it cost to place fencing around the​ garden?
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Part 1
A.$ 1 comma 224
$ 1 comma 224
B.$ 552
$ 552
C.$ 138
$ 138
D.$ 276
$ 276

Answer 1

To find the cost of fencing around the garden, we first need to calculate the perimeter of the rectangular garden.

The formula for the perimeter \( P \) of a rectangle is given by:

\[ P = 2 \times (\text{length} + \text{width}) \]

Given:

• Length = 34 feet
• Width = 12 feet

Substituting the values into the formula:

\[ P = 2 \times (34 + 12) = 2 \times 46 = 92 \text{ feet} \]

Next, we will calculate the cost of the fencing. The cost per foot of fencing is $3. Therefore, the total cost \( C \) can be calculated as:

\[ C = \text{Perimeter} \times \text{Cost per foot} = 92 \text{ feet} \times 3 \text{ dollars/foot} = 276 \text{ dollars} \]

So, the cost to place fencing around the garden is:

D. $276