What is the area of the figure below?
A figure is composed of a quadrilateral and a triangle that share a side.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 can find the area of the quadrilateral and the triangle separately and then add them together.
The area of a quadrilateral can be found by multiplying the length of one of the bases (in this case, the bottom side) by the height of the quadrilateral.
So, the area of the quadrilateral is 10 meters * 6 meters = 60 m².
The area of a triangle can be found by multiplying the length of the base of the triangle (in this case, the shared side) by half the height of the triangle.
So, the area of the triangle is 12 meters * (6 meters/2) = 36 m².
Therefore, the total area of the figure is 60 m² + 36 m² = 96 m².
So, the correct response is 96 m².