WAEC 2022 · Paper 1 · Q41

The lengths of the parallel sides of a trapezium are 9 cm9\text{ cm} and 12 cm12\text{ cm}. If the area of the trapezium is 105 cm2105\text{ cm}^2, find the perpendicular distance between the parallel sides.

Worked solution (try it first)
  1. Area of a trapezium =12(a+b)h= \frac12(a + b)h: 12(9+12)h=105\frac12(9 + 12)h = 105.
  2. So 10.5h=10510.5h = 105 and h=10h = 10 cm, option C.

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