Use the image to answer the question.

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

Answer 1

To calculate the cost of carpeting the rocket-shaped figure, we first need to determine the total area that needs to be covered.

Let's denote the areas of the components:

• If you have the dimensions or area calculations of the four triangles and the rectangle from the image, you would sum these areas to get the total area.

Assuming you add the areas, you would then multiply the total area by the cost of carpeting per ft², which is $20.

The formula you would use is: \[ \text{Total cost} = \text{Total area} \times \text{Cost per ft}^2 \]

Assuming from the options you provided, one logical area total might be either:

• For example, if the total area calculated was 58.5 ft² (which isn't possible without knowing the actual area), your total cost would be: \[ \text{Total cost} = 58.5 \text{ ft}^2 \times 20 \text{ dollars per ft}^2 = 1170 \text{ dollars} \]

So, depending on the areas you have, ultimately, you would follow this formula to determine the correct answer from the options given (e.g., $1,170, $1,060, $610, $1,010).

However, without the specific dimensions or visible image to compute the areas directly, I cannot specify the exact cost. You must first calculate the area based on the given diagram or figures to select one of the options.

If the total area calculated resulted in $1,170, then that would be the answer. Otherwise, select based on the area you calculated.