The lengths of the parallel sides of a trapezium are 9cm and 12cm. If the area of the trapezium is 105cm\(^2\), find the perpendicular distance between the parallel sides.
A
5cm
B
7cm
C
10cm
D
15cm
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Area of a trapezium = \(\frac{[a+b]h}{2}\)
105 = \(\frac{[9+12]h}{2}\) → 105 x 2 =21h
h = \(\frac{210}{21}\) → 10cm
Source: WAEC / JAMB / NECO Classroom Archive (Record #65389)