Question 86

The area of a trapezium is 21 sq cm, the distance between the parallel sides is 3 cm and one of the parallel sides is 8.3 cm. What is the length of the other parallel side?

Solution

Let the length of other parallel side = $$x$$ cm

Height of the trapezium, $$h = 3$$ cm

Area of trapezium = $$\frac{1}{2} \times$$ (sum of parallel sides) $$\times$$ height

=> $$\frac{1}{2} \times (8.3+x) \times 3 = 21$$

=> $$8.3+x = \frac{21 \times 2}{3}$$

=> $$8.3+x = 14$$

=> $$x=14-8.3 = 5.7$$ cm

=> Ans - (D)

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