Question

jake is enclosing his vegetable garden with fencing. the table shows the dimensions of his rectangular garden.

garden dimension	measurement (yards)
width	10

fencing is sold in 2.5 - foot sections and costs $25.99 per section. how much will it cost to fence in the entire garden?

Explanation:

Step1: Calculate perimeter of garden

The garden is rectangular. The perimeter formula of a rectangle is $P = 2(l + w)$. Given $l=14\frac{1}{2}=\frac{29}{2}$ yards and $w = 10$ yards. First convert yards to feet. Since 1 yard = 3 feet, $l=\frac{29}{2}\times3=\frac{87}{2}$ feet and $w = 10\times3=30$ feet. Then $P=2(\frac{87}{2}+30)=87 + 60=147$ feet.

Step2: Determine number of fencing - sections

Fencing is sold in 2.5 - foot sections. The number of sections $n=\frac{147}{2.5}=58.8$. Since we can't buy a fraction of a section, we need to buy 59 sections.

Step3: Calculate total cost

Each section costs $25.99$. The total cost $C=59\times25.99 = 59\times(26 - 0.01)=59\times26-59\times0.01=1534-0.59 = 1533.41$ dollars.

Answer:

$1533.41$