Use the image to answer the question.
A 2-dimensional illustration of a building is shown with a pointed roofline and a large doorway in the center. The large doorway in the center of the baseline is 6 meters in length. The doorway is the same height as the vertical sides of the building, which is 3 meters. The left and right baselines on either side of the doorway measure 4 meters each. The height, drawn in a dashed line from the top center of the doorway to the triangular apex at the top of the building, is 3 meters.
An architect has drawn a blueprint of the entrance to a circus tent that will be built in Guildsville in a couple of weeks. Find the area of the tent’s entrance.
(1 point)
Responses
21 m2
21 m squared
24 m2
24 m squared
45 m2
45 m squared
66 m2
The area of the tent's entrance can be calculated by finding the area of the rectangle formed by the height and width of the doorway, and adding the area of the two triangles formed by the pointed roofline on either side of the doorway.
Area of rectangle = length x width
Area of rectangle = 6m x 3m
Area of rectangle = 18m^2
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 4m x 3m
Area of triangle = 6m^2
Since there are two triangles, the total area of the triangles is 2 x 6m^2 = 12m^2
Therefore, the total area of the tent's entrance is:
18m^2 (rectangle) + 12m^2 (triangles) = 30m^2
The correct answer is not listed, but based on the calculations, the closest option is 24 m2.