What is the area of the quadrilateral? Height is 9 cm on the left and 6 cm on the right width is 5 cm on the bottom and 4 cm on the top.
Responses
A. 24 cm.
B. 60 cm.
C. 54 cm.
D. 30 cm.
To find the area of the quadrilateral, we can split it into two triangles and a rectangle.
The area of the left triangle is 0.5 * base * height = 0.5 * 5 * 9 = 22.5 cm^2
The area of the right triangle is 0.5 * base * height = 0.5 * 4 * 6 = 12 cm^2
The area of the rectangle is length * width = 5 * 4 = 20 cm^2
Adding up the areas of the two triangles and the rectangle:
22.5 cm^2 (left triangle) + 12 cm^2 (right triangle) + 20 cm^2 (rectangle) = 54.5 cm^2
Therefore, the correct answer is C. 54 cm.