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Determined to save money and eat healthier, John and his family decide to build a vegetable garden. They order fencing to divide the bottom part of the garden from the top and also to go around the vegetable plot, but not on the outside border of the plot. There also needs to be 2 gates measuring 2.5 ft that are not fenced.

Use the conversion factors:
- 1 foot = 30.48 cm
- 1 foot = 12 inches

Available fencing panels measure 7 inches in width. How many panels will they need to buy? Round your answer to the nearest whole number.

Garden dimensions:
- 10 m
- Pond: 13 m
- Gate: 6.5 m
- 10 m
- 1.3 m
- Lawn
- Fencing

Answer :

The answers are:

  • The perimeter of vegetable plot = 19m
  • Area = 67.6m²
  • Fencing = 32.5m

What is the perimeter about?

Given that:

The perimeter of vegetable plot:

= 4m + 3.5m + 4m + 2m + (3.5 + 2m)

= 19m

Area of vegetable plot:

(1.3 x 5.5) + ( (4 - 1.3) x 3.5)

rounding up to one decimal place = 67.6m²

To know the numbers of meter fence that one can buy, the equation will be:

(perimeter of vegetable plot + the left plot) - gates.

(19m + (6.5 + 4 + (6.5 - 2) ) )m - (2.5ft x 2)

= 19m + 15m - 1.5424m

=32.476

=32.5m

Therefore, the answers are:

  • The perimeter of vegetable plot = 19m
  • Area = 67.6m²
  • Fencing = 32.5m

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Rewritten by : Barada

Final answer:

After converting the garden's measurements to inches and subtracting the space for gates, they will need approximately 214 fencing panels for their vegetable garden.

Explanation:

John and his family need to determine the total distance they need to fence for their vegetable garden. First, let's convert the measurements from meters to feet, as the fencing panels are in inches which is a sub-unit of foot. Given measurements of the sections to be fenced are: 10m (top), 13m (right), 6.5m (bottom), and 10m (left). Summing these up, we have a total distance of 39.5m. When we convert meters to feet (as 1m = 3.28084ft), we get 39.5m = 129.593ft.

However, two gates of 2.5ft each will not be fenced, subtracting 5ft from the total. So, the total distance to fence becomes 124.593ft.

Converting the total feet into inches (as 1 foot = 12 inches), we get 1495.116 inches. Given that a single fencing panel measures 7 inches, we can calculate the total number of panels by dividing the total inches by the width of a panel. Therefore, 1495.116/7 = 213.59.

As we cannot buy a fraction of a fencing panel, we will round up to the nearest whole number. Hence, John and his family need to purchase 214 fencing panels.

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