4 cm

6 cm
9 cm
5 cm
trapezoid
What is the area of the quadrilateral?

1 answer

To calculate the area of a trapezoid, you can use the formula:

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

Where:
a = length of one of the parallel sides (4 cm)
b = length of the other parallel side (6 cm)
h = height of the trapezoid (9 cm)

Plugging in the values:
Area = (1/2) * (4 + 6) * 9
Area = (1/2) * 10 * 9
Area = 5 * 9
Area = 45 cm^2

Therefore, the area of the quadrilateral is 45 square centimeters.