A quadrilateral has one side that has the length of 9cm, a side that has the length of 6 cm, a side that has the width of 4 cm, and a side that has the width of 5 cm. What is the area of the quadrilateral? (Please choose ONE answer choice)
A. 54 cm to the power of 2
B. 30 cm to the power of 2
C. 24 cm to the power of 2
D. 60 cm to the power of 2
C. 24 cm to the power of 2
To calculate the area of the quadrilateral, we first need to find the height. To do this, we can divide the quadrilateral into two triangles with the given side lengths:
For the first triangle:
Base = 6 cm
Height = 4 cm
Area = 1/2 * base * height = 1/2 * 6 * 4 = 12 cm^2
For the second triangle:
Base = 5 cm
Height = 4 cm
Area = 1/2 * base * height = 1/2 * 5 * 4 = 10 cm^2
Adding the areas of the two triangles together: 12 cm^2 + 10 cm^2 = 22 cm^2
Therefore, the area of the quadrilateral is 22 cm^2, which is closest to 24 cm^2 (C).