Question

Use the image to answer the question.

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

The cone of the rocket is formed by two right triangles each measuring 1 foot in height. The rectangle body measures 5 feet in width and 8 feet in height. The right triangle rocket fins on either side of the figure each have a bottom base measuring 2 feet and a height of 4 feet.

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

$1,010
$1,010

$1,170
$1,170

$1,060
$1,060

$610

Answer 1

Rectangle: 5 × 8 = 40 ft²
Two fins: 2 × (1/2 × 2 × 4) = 2 × 4 = 8 ft²
Cone (two triangles): 1/2 × 5 × 1 = 2.5 ft²

Total area = 40 + 8 + 2.5 = 50.5 ft²
Cost = 50.5 × $20 = $1,010

Answer: $1,010