a = length of the top side = 6 cm

b = length of the bottom side = 9 cm
h = height of the trapezoid = 4 cm
What is the area of the quadrilateral?

To find the area of the trapezoid, we can use the formula:

Area = (a + b) * h / 2

Substitute the given values:

Area = (6 + 9) * 4 / 2
Area = 15 * 4 / 2
Area = 60 / 2
Area = 30 cm^2

Therefore, the area of the quadrilateral is 30 square cm.