The numbers: 12 in, 8 in, and 18 in.

Question

What is the area of the quadrilateral?
A. 240 in.2
B. 168 in.2
C. 216 in.2
D. 120 in.2

Answer 1

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.