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 206 ft.2 206 ft. squared 432 ft.2 432 ft. squared 412 ft.2 412 ft. squared 216 ft.2
Answers
GPT-4o mini
To find the plantable area of the garden, we first need to calculate 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 of the garden**:
\[
\text{Plantable area} = \text{Area of the garden} - \text{Area of the shed} = 432 \, \text{ft}^2 - 20 \, \text{ft}^2 = 412 \, \text{ft}^2
\]
Thus, the plantable area of the garden is **412 ft.²**.
The correct response is **412 ft.²** or **412 ft squared**.
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 of the garden**:
\[
\text{Plantable area} = \text{Area of the garden} - \text{Area of the shed} = 432 \, \text{ft}^2 - 20 \, \text{ft}^2 = 412 \, \text{ft}^2
\]
Thus, the plantable area of the garden is **412 ft.²**.
The correct response is **412 ft.²** or **412 ft squared**.