Question
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
45 m2
45 m squared
24 m2
24 m squared
66 m2
To find the area of the tent's entrance, we need to calculate the area of the triangular portion and the rectangular portion separately and then add them together.
1. Triangular portion:
- Base: 6 meters
- Height: 3 meters
Area = 0.5 * base * height
Area = 0.5 * 6 * 3
Area = 9 square meters
2. Rectangular portion (twice):
- Length of each side: 6 meters
- Width: 3 meters
Area = length * width
Area = 6 * 3
Area = 18 square meters
Total for both sides = 18 + 18 = 36 square meters
Total area of the tent's entrance:
Triangular portion + Rectangular portion = 9 + 36 = 45 square meters
Therefore, the correct answer is:
45 m2