Question

Area of Polygons Quick Check
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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

66 m2
66 m squared

24 m2
24 m squared

21 m2
21 m squared

45 m2

Answer 1

The correct answer is 21 m2 or 21 square meters.

To find the area of the tent's entrance, we need to find the area of the triangle formed by the top center of the doorway, the left baseline, and the right baseline.

The base of the triangle is 6 + 4 + 4 = 14 meters
The height of the triangle is 3 meters

Area of a triangle = 1/2 * base * height
Area = 1/2 * 14 * 3
Area = 21 square meters

Therefore, the area of the tent's entrance is 21 m2.