To determine the cost of carpeting the entire area, we first need to calculate the total area of the carpet in square feet.
Since the figure is described as consisting of four right triangles and a rectangle, we need to calculate the area of those shapes. With the total height of 26 ft specified, you would typically use the dimensions of each specific shape to compute their individual areas.
However, the area of the entire rocket-shaped figure is not explicitly provided here. Assuming the total area has been calculated to be 58.5 ft² (just as a hypothetical number for this exercise), you would then apply the cost of carpet per square foot:
\[ \text{Total cost} = \text{Area} \times \text{Cost per square foot} \]
For example, if the area was 58.5 ft² and the cost was $20 per ft²:
\[ \text{Total cost} = 58.5 , \text{ft}² \times 20 , \text{$/ft}² = 1170 , \text{$} \]
Given the listed responses, if the area were to align with a computed total area equivalent to $1,170, that would be the correct choice.
If you have the specific area derived from the diagram, please calculate based on that number. But following the information and the example scenario provided here, if the area derived equals 58.5 ft², the answer is:
$1,170 (assuming the calculated area fits with your original area description). You would choose that option accordingly from the provided responses.