The parallel sides of a trapezium are 9.7 cm and 6.3 cm, and the distance between them is 6.5 cm.

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Question:

The parallel sides of a trapezium are 9.7 cm and 6.3 cm, and the distance between them is 6.5 cm. The area of the trapezium is
(a) 104 cm2
(b) 78 cm2
(c) 52 cm2
(d) 65 cm2

Solution:

(c) 52 cm2

Area of trapezium $=\frac{1}{2}$ (Sum of parallel sides) $\times$ Distance between them

$=\frac{1}{2} \times(9.7+6.3) \times 6.5$

$=8 \times 6.5$

$=52.0 \mathrm{~cm}^{2}$

 

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