4 cm

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

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

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

Where a and b are the lengths of the two parallel sides of the trapezoid, and h is the height (perpendicular distance between the two bases).

In this case, the lengths of the two parallel sides are 4 cm and 6 cm. Let's assume that the height of the trapezoid is 9 cm.

Area = (1/2) * (4 + 6) * 9
Area = (1/2) * 10 * 9
Area = 5 * 9
Area = 45 square cm

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