Use the image to answer the question.

A
horizontal rectangle is shown with two small right triangles extending above and below on the left side of the rectangle. The overall length of the horizontal rectangle is 8 feet, and the width is 4 feet. The two right triangles extend outward top and bottom from the left width side of the rectangle by 2 feet each. The sides of the triangles that are common to the length of the rectangle are labeled as 3 feet.

Mr. Ming’s second grade class is making a mural to celebrate the completion of their unit on astronomy. The image of the spaceship will be central to the mural. What is the area of the spaceship?

(1 point)
Responses

32 ft.2
32 ft. squared

30 ft.2
30 ft. squared

35 ft.2
35 ft. squared

38 ft.2

1 answer

30 ft.2
30 ft. squared

To find the area of the spaceship, we need to find the total area of the rectangle and subtract the areas of the two right triangles.

Area of rectangle = length x width = 8 ft x 4 ft = 32 ft2

Area of two right triangles = (1/2) x base x height = 2 x 3 x 2 = 12 ft2 for each triangle, so 12 ft2 x 2 = 24 ft2

Area of spaceship = 32 ft2 - 24 ft2 = 8 ft2

Therefore, the area of the spaceship is 30 ft2.