The numbers: 12 in, 8 in, and 18 in.
What is the area of the quadrilateral?
A. 240 in.2
B. 168 in.2
C. 216 in.2
D. 120 in.2
C. 216 in.2
To find the area of the quadrilateral, we can split it into two triangles and a rectangle.
First, we find the area of the rectangle:
Area = length x width
Area = 12 in x 8 in
Area = 96 in.2
Next, we find the area of the two triangles:
Area of triangle 1 = (1/2) x base x height
Area of triangle 1 = (1/2) x 12 in x 18 in
Area of triangle 1 = 108 in.2
Area of triangle 2 = (1/2) x base x height
Area of triangle 2 = (1/2) x 8 in x 18 in
Area of triangle 2 = 72 in.2
Adding the areas of the rectangle and the two triangles:
Total Area = 96 in.2 + 108 in.2 + 72 in.2
Total Area = 216 in.2
Therefore, the area of the quadrilateral is 216 in.2.