Area of trapezium ABCE is 24 $c m^{2}$ , find the length of AE if AB = 5 cm and CE = 7 cm.

3 cm

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4 cm

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6 cm

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8 cm

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Solution

The correct option is B 4 cm
Area of Trapezium ABCE
= $\frac{1}{2}$ $\times$ (Sum of parallel sides) $\times$ height
24 = $\frac{1}{2}$ $\times$ (AB+CE) $\times$ AE
24 = $\frac{1}{2}$ $\times$ (5+7) $\times$ AE
24 = $\frac{1}{2}$ $\times$ 12 $\times$ AE
$\frac{24 \times 2}{12}$ = AE
AE = 4 cm

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