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Use the image to answer the question.

Four right triangles and a rectangle are connected sharing sides and form a rocket-shaped figure.

A room is being carpeted and the model of the carpet is shown in the image. If the cost of 1 ft.2 of carpet is $20, what is the cost of the whole carpet?

(1 point)
Responses

$1,170
$1,170

$1,060
$1,060

$610
$610

$1,010

1 answer

To determine the cost of the carpet, we first need to calculate the total area of the carpet in square feet (ft²).

Assuming we had the image, we would find the area of the rocket-shaped figure composed of four right triangles and a rectangle. However, as the image is not provided here, I will give you a general approach on how to calculate the area and then the cost.

  1. Calculate the area of each component:

    • For the rectangle, use the formula: Area of rectangle = length × width.
    • For each right triangle, use the formula: Area of triangle = (1/2) × base × height.
    • Add up all the areas to get the total area of the shape.

  2. Calculate total cost:

    • Once you have the total area, multiply it by the cost per square foot of the carpet: \[ \text{Total Cost} = \text{Total Area} \times (\text{Cost per ft}^2) \]

  3. Choose the correct option from the responses based on your calculation.

Without the dimensions, I can't compute the exact total area or cost. However, if you have the area, you can calculate the total cost. If you do that and find that your calculation matches one of the provided options, then that would be your answer.

If you need further assistance or adjustments to calculations based on dimensions you have, please provide those dimensions!