a = length of the top side = 24 cm

b = length of the bottom side = 20 cm
h = height of the trapezoid = 10 cm
What is the area of the quadrilateral?

The formula to calculate the area of a trapezoid is given by:

Area = (1/2) * (a + b) * h

Plugging in the values:

Area = (1/2) * (24 + 20) * 10
Area = (1/2) * 44 * 10
Area = 22 * 10
Area = 220 square cm

Therefore, the area of the trapezoid is 220 square cm.