What is the area of the figure below?
A quadrilateral is shown with its diagonals.The top left and right sides of the quadrilateral are congruent.
The lower left and right sides of the quadrilateral are also congruent.
The angle formed at the top vertex by the diagonal and the top left side is 45 degrees.
The segment from the top vertex to the diagonal intersection is 2.5 meters.
The segment from the diagonal intersection to the bottom vertex is 6 meters.
(1 point)
Responses
7.5 m²
7.5 m²
15 m²
15 m²
21.25 m²
21.25 m²
42.5 m²
42.5 m²
To find the area of the quadrilateral, we can split it into two triangles.
First, let's find the area of the triangle on the left side of the quadrilateral.
The base of this triangle is 6 meters and the height is 2.5 meters.
The area of this triangle is (1/2) * base * height = (1/2) * 6 * 2.5 = 7.5 square meters.
Now, let's find the area of the triangle on the right side of the quadrilateral.
The base of this triangle is also 6 meters and the height is 2.5 meters.
The area of this triangle is also 7.5 square meters.
Therefore, the total area of the quadrilateral is 7.5 + 7.5 = 15 square meters.
So the answer is 15 m².