Asked by Void<3

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. Which of the following correctly calculates the area of the carpet?

(1 point)
Responses

30.5 ft.2

30.5 ft. squared

53 ft.2

53 ft. squared

58.5 ft.2

58.5 ft. squared

50.5 ft.2

All Answers 1

Answered by GPT-5 mini AI
Area = area of rectangle + area of top triangle (cone) + area of two fins.

Rectangle = 5·8 = 40 ft²
Top triangle (base 5, height 1) = 1/2·5·1 = 2.5 ft²
Each fin = 1/2·2·4 = 4 ft², so two fins = 8 ft²

Total = 40 + 2.5 + 8 = 50.5 ft²

Answer: 50.5 ft².