To solve this problem, let's address each question based on the grid layout of the garden.

1. Determining the Perimeter of the Garden

The perimeter of a shape is the total distance around its boundary. The garden layout shows a rectangular structure made up of small 1-foot by 1-foot squares.

Counting the Dimensions:

From the grid, we can see:

• The length of the garden is 6 feet (horizontally).
• The width of the garden is 4 feet (vertically).

Calculating the Perimeter:

The perimeter $P$ of a rectangle is given by the formula: $P = 2 \times (\text{length} + \text{width})$ Substitute the values: $P = 2 \times (6 + 4) = 2 \times 10 = 20 \text{ feet}$

Thus, the perimeter of the garden is 20 feet (Option B).

2. Determining the Area of the Garden

The area of a shape is the amount of space it occupies, measured in square units. For a rectangle, the area is calculated by multiplying the length by the width.

Calculating the Area:

Using the same dimensions: $\text{Area} = \text{length} \times \text{width} = 6 \times 4 = 24 \text{ square feet}$

Thus, the area of the garden is 24 square feet (Option D).

Final Answers:

• Perimeter: 20 feet (Option B)
• Area: 24 square feet (Option D)

Would you like further details on these calculations or explanations on related concepts?

Here are five questions that expand on this topic:

1. How would the perimeter change if the garden was 7 feet by 5 feet?
2. What would the area be if each square was 2 feet by 2 feet instead?
3. How does the perimeter of a rectangle relate to its area?
4. If the garden was expanded to double its area, what could be its new dimensions?
5. How would you calculate the diagonal length of this garden?

Tip: Remember, the perimeter depends only on the outer boundary lengths, while the area depends on the entire enclosed space.