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A farmer needs to build a goat pen. The pen will be $6\,\text{yards}$ wide and $9\,\text{yards}$ long. The fencing material costs $\$4.00$ per yard. How much will it cost to buy enough fencing material to build the goat pen? $\newline$ $\$$ _____

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Area and perimeter: word problems

Full solution

Q. A farmer needs to build a goat pen. The pen will be

6\,\text{yards}

wide and

9\,\text{yards}

long. The fencing material costs

\$4.00

per yard. How much will it cost to buy enough fencing material to build the goat pen?

\newline

\$

_____

Calculate Perimeter: Step $1$ : Calculate the perimeter of the goat pen. $\newline$ Since the pen is a rectangle, the perimeter is calculated by adding up all the sides. $\newline$ Perimeter = $2 \times (\text{Length} + \text{Width}) = 2 \times (9 \text{ yards} + 6 \text{ yards}) = 2 \times 15 \text{ yards} = 30 \text{ yards}.$
Calculate Cost: Step $2$ : Calculate the cost of the fencing material. $\newline$ The cost per yard of fencing is $\$4.00$ . $\newline$ Total cost = Perimeter $\times$ Cost per yard = $30$ yards $\times$ $\$4.00$ /yard = $\$120$ .

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