Use the image to answer the question. What is the area of the quadrilateral? (1 point) Responses 140in.^2

112 in.^2
102in.^2
80in.^2

1 answer

To find the area of the quadrilateral, we need to split it into two triangles and then add their areas together.

The area of the first triangle is (6 in * 12 in) / 2 = 36 in^2
The area of the second triangle is (8 in * 10 in) / 2 = 40 in^2

Therefore, the total area of the quadrilateral is 36 in^2 + 40 in^2 = 76 in^2

Therefore, the closest answer choice is 80in.^2.