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

Answer 1

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.