WAEC - Mathematics (2022 - No. 38)

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.
5cm
7cm
10cm
15cm

Explanation

Area of a trapezium = \(\frac{[a+b]h}{2}\) 

105 = \(\frac{[9+12]h}{2}\) → 105 x 2 =21h

h = \(\frac{210}{21}\) → 10cm

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