To find the length of the second parallel side of the trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) * (a + b) * h
Where "a" and "b" are the lengths of the parallel sides, and "h" is the height of the trapezoid.
Given that the area is 176 cm², the height is 16 cm, and one of the parallel sides is 9 cm, we can substitute these values into the formula and solve for the second parallel side "b".
176 = (1/2) * (9 + b) * 16
Multiplying both sides by 2 and dividing by 16:
352 = 9 + b
Subtracting 9 from both sides:
b = 343
Therefore, the length of the second parallel side is 343 cm.