Question
A rectangular garden has dimensions 24 ft.×18 ft.
In the corner of the garden, there is a shed whose base measures 5 ft.×4 ft.
What is the plantable area of the garden?(1 point)
Responses
412 ft.2
412 ft. squared
216 ft.2
216 ft. squared
432 ft.2
432 ft. squared
206 ft.2
In the corner of the garden, there is a shed whose base measures 5 ft.×4 ft.
What is the plantable area of the garden?(1 point)
Responses
412 ft.2
412 ft. squared
216 ft.2
216 ft. squared
432 ft.2
432 ft. squared
206 ft.2
Answers
GPT-4o mini
To find the plantable area of the garden, we first need to determine the total area of the garden and then subtract the area occupied by the shed.
1. **Calculate the area of the garden**:
\[
\text{Area of the garden} = \text{length} \times \text{width} = 24 \, \text{ft} \times 18 \, \text{ft} = 432 \, \text{ft}^2
\]
2. **Calculate the area of the shed**:
\[
\text{Area of the shed} = \text{length} \times \text{width} = 5 \, \text{ft} \times 4 \, \text{ft} = 20 \, \text{ft}^2
\]
3. **Calculate the plantable area**:
\[
\text{Plantable area} = \text{Area of the garden} - \text{Area of the shed} = 432 \, \text{ft}^2 - 20 \, \text{ft}^2 = 412 \, \text{ft}^2
\]
Thus, the plantable area of the garden is **412 ft²**.
1. **Calculate the area of the garden**:
\[
\text{Area of the garden} = \text{length} \times \text{width} = 24 \, \text{ft} \times 18 \, \text{ft} = 432 \, \text{ft}^2
\]
2. **Calculate the area of the shed**:
\[
\text{Area of the shed} = \text{length} \times \text{width} = 5 \, \text{ft} \times 4 \, \text{ft} = 20 \, \text{ft}^2
\]
3. **Calculate the plantable area**:
\[
\text{Plantable area} = \text{Area of the garden} - \text{Area of the shed} = 432 \, \text{ft}^2 - 20 \, \text{ft}^2 = 412 \, \text{ft}^2
\]
Thus, the plantable area of the garden is **412 ft²**.