Questions: A local garden is in the works to help promote sustainability and healthy eating. It would go in a rectangular garden. The measurements for the garden are to be 30 feet long and 20 wide. The garden will also include a 2-foot-wide walking path that is part of the larger community effort. Questions to Solve 1. Find the area of garden(in sq ft)? 2. How many parts (area in square feet) the garden has including walking path? 3. The total length of the garden with walking path (in feet) 4. If the community wishes to convert this total area in addition to the walking path into square meters, what is its base? (1 square foot =0.092903 square meters) 5. Perimeter of garden (in feet)

Solution Steps

1. To find the area of the garden, multiply the length by the width.
2. To find the total area including the walking path, add the width of the path to both the length and the width of the garden, then multiply the new dimensions.
3. To convert the total area into square meters, multiply the total area in square feet by the conversion factor (0.092903).

The area of the garden is calculated by multiplying the length and the width: \[ \text{Area of the garden} = \text{length} \times \text{width} = 30 \, \text{ft} \times 20 \, \text{ft} = 600 \, \text{sq ft} \]

To find the total area including the walking path, we add the width of the path to both the length and the width of the garden, then multiply the new dimensions: \[ \text{Total length with path} = 30 \, \text{ft} + 2 \times 2 \, \text{ft} = 34 \, \text{ft} \] \[ \text{Total width with path} = 20 \, \text{ft} + 2 \times 2 \, \text{ft} = 24 \, \text{ft} \] \[ \text{Total area with path} = 34 \, \text{ft} \times 24 \, \text{ft} = 816 \, \text{sq ft} \]

To convert the total area into square meters, we use the conversion factor \(1 \, \text{sq ft} = 0.092903 \, \text{sq m}\): \[ \text{Total area with path in square meters} = 816 \, \text{sq ft} \times 0.092903 \, \text{sq m/sq ft} = 75.8088 \, \text{sq m} \]

Final Answer