What is the area of the figure below? The top and bottom sides of the quadrilateral are congruent. The bottom side is 10 meters. The bottom side of the triangle, which shares an endpoint with the bottom side of the quadrilateral, is 12 meters. A dashed altitude drawn from the top vertex of the triangle to bottom side is 6 meters. (1 point) Responses 36 m² 36 m² 60 m² 60 m² 72 m² 72 m² 96 m²
To find the area of the figure, we need to find the area of both the quadrilateral and the triangle, and then add them together.
The area of a quadrilateral can be found using the formula:
Area = (1/2)(sum of adjacent sides)(altitude)
In this case, the sum of the adjacent sides is 10 + 10 = 20 meters. The altitude is given as 6 meters.
Thus, the area of the quadrilateral is (1/2)(20)(6) = 60 square meters.
The area of a triangle can be found using the formula:
Area = (1/2)(base)(height)
In this case, the base is 12 meters and the height (which is also the altitude) is given as 6 meters.
Thus, the area of the triangle is (1/2)(12)(6) = 36 square meters.
Adding the areas of the quadrilateral and triangle together, we get:
60 square meters + 36 square meters = 96 square meters
Therefore, the area of the figure is 96 m².