Question

Use the image to answer the question.

Four right triangles and a rectangle are connected sharing sides and form a rocket-shaped figure.
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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 and you want to pay exactly $960 for the carpet, which part of the carpet should be excluded?

(1 point)
Responses

the right triangle on the left
the right triangle on the left

the isosceles triangle
the isosceles triangle

the right triangle on the right
the right triangle on the right

the rectangle

Answer 1

Exclude the isosceles triangle.

Work: rectangle = 5·8 = 40 ft². Two fins = 2·(½·2·4) = 8 ft². Top triangle = ½·5·1 = 2.5 ft². Total = 40 + 8 + 2.5 = 50.5 ft² → 50.5·$20 = $1010. Removing the top triangle (2.5 ft²) leaves 48 ft² → 48·$20 = $960.