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If the height of the trapezium is 8 cm, and the lengths of its two parallel sides are 4 cm and 7 cm, respectively, then find its area.

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24 cm²

44 cm²

14 cm²

34 cm²

answer is B.

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Detailed Solution

Given, the two parallel sides of the trapezium are 4 cm and 7 cm respectively.

Height of the trapezium = 8 cm.

Sum of parallel sides of the trapezium = 4 + 7 = 11 cm.

Area of the trapezium = $\frac{1}{2}$ x (Sum of parallel sides) x (Height).

$\begin{array}{rcl} = & \frac{1}{2} \times 11 \times 8 \\ = & 44 {cm}^{2} \end{array}$

Therefore, the area of the trapezium is 44 cm².

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