The lengths of the parallel sides of a trapezium are 9 cm and 12 cm. lf the area of the trapezium is 105 cm\(^2\), 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
\(\frac{1}{2}(a+b)\times h = 105cm^2\)
\(\frac{1}{2}(9+12)\times h = 105\)
h = \(\frac{105 \times 2}{21} = 10cm\)
Source: Myschool Past Questions Archive (Record #26543)